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2191907928 = 233729736163
BaseRepresentation
bin1000001010100101…
…1101110001011000
312122202110110102010
42002221131301120
513442112023203
61001300105520
7105213624060
oct20251356130
95582413363
102191907928
11a25302961
125120952a0
1328c15a352
1416b1723a0
15cc66e303
hex82a5dc58

2191907928 has 128 divisors (see below), whose sum is σ = 6568358400. Its totient is φ = 596284416.

The previous prime is 2191907873. The next prime is 2191907969. The reversal of 2191907928 is 8297091912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352575 + ... + 358737.

It is an arithmetic number, because the mean of its divisors is an integer number (51315300).

Almost surely, 22191907928 is an apocalyptic number.

2191907928 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 2191907928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284179200).

2191907928 is an abundant number, since it is smaller than the sum of its proper divisors (4376450472).

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

2191907928 is a wasteful number, since it uses less digits than its factorization.

2191907928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6281 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 48.

The square root of 2191907928 is about 46817.8163523247. The cubic root of 2191907928 is about 1298.9948696047.

The spelling of 2191907928 in words is "two billion, one hundred ninety-one million, nine hundred seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 73 84 87 116 146 168 174 203 219 232 292 348 406 438 511 584 609 696 812 876 1022 1218 1533 1624 1752 2044 2117 2436 3066 4088 4234 4872 6132 6163 6351 8468 12264 12326 12702 14819 16936 18489 24652 25404 29638 36978 43141 44457 49304 50808 59276 73956 86282 88914 118552 129423 147912 172564 177828 178727 258846 345128 355656 357454 449899 517692 536181 714908 899798 1035384 1072362 1251089 1349697 1429816 1799596 2144724 2502178 2699394 3149293 3599192 3753267 4289448 5004356 5398788 6298586 7506534 9447879 10008712 10797576 12597172 13047071 15013068 18895758 25194344 26094142 30026136 37791516 39141213 52188284 75583032 78282426 91329497 104376568 156564852 182658994 273988491 313129704 365317988 547976982 730635976 1095953964 2191907928