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2145568032 = 253231240319
BaseRepresentation
bin111111111100010…
…1100010100100000
312112112021011000200
41333320230110200
513343231134112
6552522545200
7104112012246
oct17770542440
95475234020
102145568032
11a01132023
124ba668200
13282683baa
14164d4c796
15c8568cdc
hex7fe2c520

2145568032 has 72 divisors (see below), whose sum is σ = 6298306560. Its totient is φ = 692115840.

The previous prime is 2145568021. The next prime is 2145568037. The reversal of 2145568032 is 2308655412.

2145568032 is a `hidden beast` number, since 21 + 4 + 556 + 80 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2145568037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111232 + ... + 129087.

It is an arithmetic number, because the mean of its divisors is an integer number (87476480).

Almost surely, 22145568032 is an apocalyptic number.

It is an amenable number.

2145568032 is an abundant number, since it is smaller than the sum of its proper divisors (4152738528).

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

2145568032 is a wasteful number, since it uses less digits than its factorization.

2145568032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240366 (or 240355 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2145568032 is about 46320.2766831115. The cubic root of 2145568032 is about 1289.7754215143.

The spelling of 2145568032 in words is "two billion, one hundred forty-five million, five hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 240319 480638 720957 961276 1441914 1922552 2162871 2883828 3845104 4325742 5767656 7449889 7690208 8651484 11535312 14899778 17302968 22349667 23070624 29799556 34605936 44699334 59599112 67049001 69211872 89398668 119198224 134098002 178797336 238396448 268196004 357594672 536392008 715189344 1072784016 2145568032