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2245832832 = 27319307817
BaseRepresentation
bin1000010111011100…
…1011000010000000
312210111221010110210
42011313023002000
514044413122312
61010503554120
7106440156405
oct20567130200
95714833423
102245832832
11a527944a1
1252815b940
1329a38b089
141743ac2ac
15d2271e3c
hex85dcb080

2245832832 has 64 divisors (see below), whose sum is σ = 6279487200. Its totient is φ = 709208064.

The previous prime is 2245832803. The next prime is 2245832837. The reversal of 2245832832 is 2382385422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×22458328323 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2245832837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146613 + ... + 161204.

Almost surely, 22245832832 is an apocalyptic number.

It is an amenable number.

2245832832 is an abundant number, since it is smaller than the sum of its proper divisors (4033654368).

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

2245832832 is a wasteful number, since it uses less digits than its factorization.

2245832832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307853 (or 307841 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 2245832832 is about 47390.2187376256. The cubic root of 2245832832 is about 1309.5612290428.

The spelling of 2245832832 in words is "two billion, two hundred forty-five million, eight hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 307817 615634 923451 1231268 1846902 2462536 3693804 4925072 5848523 7387608 9850144 11697046 14775216 17545569 19700288 23394092 29550432 35091138 39400576 46788184 59100864 70182276 93576368 118201728 140364552 187152736 280729104 374305472 561458208 748610944 1122916416 2245832832