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22310000242332 = 223112313671350533
BaseRepresentation
bin1010001001010011100111…
…01000111010111010011100
32220222211000021110022220120
411010221303220322322130
510411011340030223312
6115241023404114540
74461562414063635
oct504516350727234
986884007408816
1022310000242332
117121688575200
1226039b1b35a50
13c5aa9341a55a
14571b4a03688c
1528a50342c28c
hex144a73a3ae9c

22310000242332 has 144 divisors (see below), whose sum is σ = 59226080342016. Its totient is φ = 6524690198400.

The previous prime is 22310000242331. The next prime is 22310000242333. The reversal of 22310000242332 is 23324200001322.

It is an interprime number because it is at equal distance from previous prime (22310000242331) and next prime (22310000242333).

It is a super-3 number, since 3×223100002423323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22310000242331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15844138 + ... + 17194670.

Almost surely, 222310000242332 is an apocalyptic number.

22310000242332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22310000242332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29613040171008).

22310000242332 is an abundant number, since it is smaller than the sum of its proper divisors (36916080099684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22310000242332 is a wasteful number, since it uses less digits than its factorization.

22310000242332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350960 (or 1350947 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22310000242332 its reverse (23324200001322), we get a palindrome (45634200243654).

The spelling of 22310000242332 in words is "twenty-two trillion, three hundred ten billion, two hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 367 372 484 682 726 734 1023 1101 1364 1452 1468 2046 2202 3751 4037 4092 4404 7502 8074 11253 11377 12111 15004 16148 22506 22754 24222 34131 44407 45012 45508 48444 68262 88814 125147 133221 136524 177628 250294 266442 375441 500588 532884 750882 1350533 1376617 1501764 2701066 2753234 4051599 4129851 5402132 5506468 8103198 8259702 14855863 16206396 16519404 29711726 41866523 44567589 59423452 83733046 89135178 125599569 163414493 167466092 178270356 251199138 326828986 460531753 490243479 495645611 502398276 653657972 921063506 980486958 991291222 1381595259 1486936833 1842127012 1960973916 1982582444 2763190518 2973873666 5065849283 5452101721 5526381036 5947747332 10131698566 10904203442 15197547849 15365013941 16356305163 20263397132 21808406884 30395095698 30730027882 32712610326 46095041823 59973118931 60790191396 61460055764 65425220652 92190083646 119946237862 169015153351 179919356793 184380167292 239892475724 338030306702 359838713586 507045460053 676060613404 719677427172 1014090920106 1859166686861 2028181840212 3718333373722 5577500060583 7436666747444 11155000121166 22310000242332