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332055144 = 233214933089
BaseRepresentation
bin10011110010101…
…100001001101000
3212010211011000200
4103302230021220
51140001231034
652541032200
711141264541
oct2362541150
9763734020
10332055144
11160488a43
1293255660
1353a42345
14321594c8
151e241a99
hex13cac268

332055144 has 48 divisors (see below), whose sum is σ = 900209700. Its totient is φ = 110575104.

The previous prime is 332055137. The next prime is 332055161. The reversal of 332055144 is 441550233.

It can be written as a sum of positive squares in 2 ways, for example, as 266930244 + 65124900 = 16338^2 + 8070^2 .

It is a super-2 number, since 2×3320551442 = 220521237313721472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105952 + ... + 109040.

Almost surely, 2332055144 is an apocalyptic number.

It is an amenable number.

332055144 is an abundant number, since it is smaller than the sum of its proper divisors (568154556).

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

332055144 is a wasteful number, since it uses less digits than its factorization.

332055144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 332055144 is about 18222.3803055474. The cubic root of 332055144 is about 692.4738921548.

The spelling of 332055144 in words is "three hundred thirty-two million, fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1493 2986 3089 4479 5972 6178 8958 9267 11944 12356 13437 17916 18534 24712 26874 27801 35832 37068 53748 55602 74136 107496 111204 222408 4611877 9223754 13835631 18447508 27671262 36895016 41506893 55342524 83013786 110685048 166027572 332055144