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2157665232 = 243192239521
BaseRepresentation
bin1000000010011011…
…0101101111010000
312120101000202021010
42000212311233100
513404330241412
6554034130520
7104316565122
oct20046655720
95511022233
102157665232
11a07a44908
12502720a40
1328502b1b8
141667bb212
15c965833c
hex809b5bd0

2157665232 has 120 divisors (see below), whose sum is σ = 5918728320. Its totient is φ = 677214720.

The previous prime is 2157665231. The next prime is 2157665233. The reversal of 2157665232 is 2325667512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2157665231) and next prime (2157665233).

It is a super-2 number, since 2×21576652322 = 9311038506763227648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157665231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4141132 + ... + 4141652.

It is an arithmetic number, because the mean of its divisors is an integer number (49322736).

Almost surely, 22157665232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157665232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959364160).

2157665232 is an abundant number, since it is smaller than the sum of its proper divisors (3761063088).

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

2157665232 is a wasteful number, since it uses less digits than its factorization.

2157665232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 784 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 2157665232 is about 46450.6752588162. The cubic root of 2157665232 is about 1292.1948956277.

The spelling of 2157665232 in words is "two billion, one hundred fifty-seven million, six hundred sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 239 304 361 456 478 521 717 722 912 956 1042 1083 1434 1444 1563 1912 2084 2166 2868 2888 3126 3824 4168 4332 4541 5736 5776 6252 8336 8664 9082 9899 11472 12504 13623 17328 18164 19798 25008 27246 29697 36328 39596 54492 59394 72656 79192 86279 108984 118788 124519 158384 172558 188081 217968 237576 249038 258837 345116 373557 376162 475152 498076 517674 564243 690232 747114 752324 996152 1035348 1128486 1380464 1494228 1504648 1992304 2070696 2256972 2365861 2988456 3009296 4141392 4513944 4731722 5976912 7097583 9027888 9463444 14195166 18926888 28390332 37853776 44951359 56780664 89902718 113561328 134854077 179805436 269708154 359610872 539416308 719221744 1078832616 2157665232