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2121925988 = 22721343107181
BaseRepresentation
bin111111001111010…
…0000010101100100
312110212210000020102
41332132200111210
513321203112423
6550320123232
7103404034100
oct17636402544
95425700212
102121925988
11999854446
124b2766518
1327a7c6b10
14161b56900
15c6448c28
hex7e7a0564

2121925988 has 144 divisors (see below), whose sum is σ = 4831130304. Its totient is φ = 807770880.

The previous prime is 2121925937. The next prime is 2121926011. The reversal of 2121925988 is 8895291212.

It is a happy number.

It is a super-2 number, since 2×21219259882 = 9005139797099552288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11723258 + ... + 11723438.

It is an arithmetic number, because the mean of its divisors is an integer number (33549516).

Almost surely, 22121925988 is an apocalyptic number.

2121925988 is a gapful number since it is divisible by the number (28) 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 2121925988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415565152).

2121925988 is an abundant number, since it is smaller than the sum of its proper divisors (2709204316).

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

2121925988 is a wasteful number, since it uses less digits than its factorization.

2121925988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its digits is 207360, while the sum is 47.

The square root of 2121925988 is about 46064.3678780031. The cubic root of 2121925988 is about 1285.0205627882.

The spelling of 2121925988 in words is "two billion, one hundred twenty-one million, nine hundred twenty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 43 49 52 86 91 98 107 172 181 182 196 214 301 362 364 428 559 602 637 724 749 1118 1204 1267 1274 1391 1498 2107 2236 2353 2534 2548 2782 2996 3913 4214 4601 4706 5068 5243 5564 7783 7826 8428 8869 9202 9412 9737 10486 15566 15652 16471 17738 18404 19367 19474 20972 27391 31132 32207 32942 35476 38734 38948 54481 54782 59813 64414 65884 68159 77468 101179 108962 109564 115297 119626 128828 135569 136318 202358 217924 225449 230594 239252 251771 271138 272636 381367 404716 418691 450898 461188 503542 542276 708253 762734 832781 837382 901796 948983 1007084 1416506 1525468 1665562 1674764 1762397 1897966 2833012 2930837 3331124 3524794 3795932 4957771 5829467 5861674 7049588 9915542 10826153 11658934 11723348 12336779 19831084 21652306 23317868 24673558 40806269 43304612 49347116 75783071 81612538 151566142 163225076 303132284 530481497 1060962994 2121925988