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232352032 = 25112772383
BaseRepresentation
bin11011101100101…
…10100100100000
3121012012201001211
431312112210200
5433440231112
635020035504
75520650113
oct1566264440
9535181054
10232352032
1110a17a580
1265992b94
13391a3a13
1422c0457a
15155ea0a7
hexdd96920

232352032 has 48 divisors (see below), whose sum is σ = 501040512. Its totient is φ = 105189120.

The previous prime is 232352023. The next prime is 232352051. The reversal of 232352032 is 230253232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 232351994 and 232352012.

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 7 ways as a sum of consecutive naturals, for example, 96313 + ... + 98695.

It is an arithmetic number, because the mean of its divisors is an integer number (10438344).

Almost surely, 2232352032 is an apocalyptic number.

232352032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232352032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250520256).

232352032 is an abundant number, since it is smaller than the sum of its proper divisors (268688480).

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

232352032 is a wasteful number, since it uses less digits than its factorization.

232352032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 232352032 is about 15243.0978478786. The cubic root of 232352032 is about 614.7739994058.

The spelling of 232352032 in words is "two hundred thirty-two million, three hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 277 352 554 1108 2216 2383 3047 4432 4766 6094 8864 9532 12188 19064 24376 26213 38128 48752 52426 76256 97504 104852 209704 419408 660091 838816 1320182 2640364 5280728 7261001 10561456 14522002 21122912 29044004 58088008 116176016 232352032