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332252256 = 25371393557
BaseRepresentation
bin10011110011011…
…100010001100000
3212011012011102010
4103303130101200
51140024033011
652545152520
711143045320
oct2363342140
9764164363
10332252256
11160603046
129332b740
1353ab0c8b
14321ab280
151e2801a6
hex13cdc460

332252256 has 96 divisors (see below), whose sum is σ = 1004209920. Its totient is φ = 94219776.

The previous prime is 332252251. The next prime is 332252293. The reversal of 332252256 is 652252233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3322522562 = 220783123234179072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332252251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91630 + ... + 95186.

It is an arithmetic number, because the mean of its divisors is an integer number (10460520).

Almost surely, 2332252256 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 332252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502104960).

332252256 is an abundant number, since it is smaller than the sum of its proper divisors (671957664).

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

332252256 is a wasteful number, since it uses less digits than its factorization.

332252256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3708 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 332252256 is about 18227.7880172006. The cubic root of 332252256 is about 692.6108853790.

The spelling of 332252256 in words is "three hundred thirty-two million, two hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 672 834 973 1112 1668 1946 2224 2919 3336 3557 3892 4448 5838 6672 7114 7784 10671 11676 13344 14228 15568 21342 23352 24899 28456 31136 42684 46704 49798 56912 74697 85368 93408 99596 113824 149394 170736 199192 298788 341472 398384 494423 597576 796768 988846 1195152 1483269 1977692 2390304 2966538 3460961 3955384 5933076 6921922 7910768 10382883 11866152 13843844 15821536 20765766 23732304 27687688 41531532 47464608 55375376 83063064 110750752 166126128 332252256