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2164422502000 = 245311761129281
BaseRepresentation
bin11111011111110001101…
…000100110011001110000
321122220202022210101012101
4133133301220212121300
5240430214130031000
64334153313510144
7312242256466063
oct37376150463160
97586668711171
102164422502000
11764a21092180
122ab590872354
13129147b12185
1476a898988da
153b47cd4ae6a
hex1f7f1a26670

2164422502000 has 160 divisors (see below), whose sum is σ = 5716899684288. Its totient is φ = 786022400000.

The previous prime is 2164422501973. The next prime is 2164422502007. The reversal of 2164422502000 is 2052244612.

It is a self number, because there is not a number n which added to its sum of digits gives 2164422502000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164422502007) 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 31 ways as a sum of consecutive naturals, for example, 16677360 + ... + 16806640.

Almost surely, 22164422502000 is an apocalyptic number.

2164422502000 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 2164422502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858449842144).

2164422502000 is an abundant number, since it is smaller than the sum of its proper divisors (3552477182288).

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

2164422502000 is a wasteful number, since it uses less digits than its factorization.

2164422502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130076 (or 130060 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 2164422502000 its reverse (2052244612), we get a palindrome (2166474746612).

The spelling of 2164422502000 in words is "two trillion, one hundred sixty-four billion, four hundred twenty-two million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 761 880 1000 1100 1375 1522 2000 2200 2750 3044 3805 4400 5500 6088 7610 8371 11000 12176 15220 16742 19025 22000 30440 33484 38050 41855 60880 66968 76100 83710 95125 129281 133936 152200 167420 190250 209275 258562 304400 334840 380500 418550 517124 646405 669680 761000 837100 1034248 1046375 1292810 1422091 1522000 1674200 2068496 2092750 2585620 2844182 3232025 3348400 4185500 5171240 5688364 6464050 7110455 8371000 10342480 11376728 12928100 14220910 16160125 16742000 22753456 25856200 28441820 32320250 35552275 51712400 56883640 64640500 71104550 98382841 113767280 129281000 142209100 177761375 196765682 258562000 284418200 355522750 393531364 491914205 568836400 711045500 787062728 983828410 1082211251 1422091000 1574125456 1967656820 2164422502 2459571025 2844182000 3935313640 4328845004 4919142050 5411056255 7870627280 8657690008 9838284100 10822112510 12297855125 17315380016 19676568200 21644225020 24595710250 27055281275 39353136400 43288450040 49191420500 54110562550 86576900080 98382841000 108221125100 135276406375 196765682000 216442250200 270552812750 432884500400 541105625500 1082211251000 2164422502000