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22202411140 = 22571317536959
BaseRepresentation
bin10100101011010111…
…011110100010000100
32010022022202100100201
4110223113132202010
5330432304124030
614111042420244
71414124244430
oct245327364204
963268670321
1022202411140
119463756118
124377661684
13212aa718b0
1411089cd9c0
1589e2b22ca
hex52b5de884

22202411140 has 96 divisors (see below), whose sum is σ = 57425679360. Its totient is φ = 7021679616.

The previous prime is 22202411113. The next prime is 22202411171. The reversal of 22202411140 is 4111420222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3186981 + ... + 3193939.

It is an arithmetic number, because the mean of its divisors is an integer number (598184160).

Almost surely, 222202411140 is an apocalyptic number.

22202411140 is a gapful number since it is divisible by the number (20) 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 22202411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28712839680).

22202411140 is an abundant number, since it is smaller than the sum of its proper divisors (35223268220).

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

22202411140 is a wasteful number, since it uses less digits than its factorization.

22202411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8739 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22202411140 its reverse (4111420222), we get a palindrome (26313831362).

The spelling of 22202411140 in words is "twenty-two billion, two hundred two million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1753 1820 3506 6959 7012 8765 12271 13918 17530 22789 24542 27836 34795 35060 45578 48713 49084 61355 69590 90467 91156 97426 113945 122710 139180 159523 180934 194852 227890 243565 245420 319046 361868 452335 455780 487130 633269 638092 797615 904670 974260 1266538 1595230 1809340 2533076 3166345 3190460 6332690 12199127 12665380 24398254 48796508 60995635 85393889 121991270 158588651 170787778 243982540 317177302 341575556 426969445 634354604 792943255 853938890 1110120557 1585886510 1707877780 2220241114 3171773020 4440482228 5550602785 11101205570 22202411140