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232469920 = 2551917607
BaseRepresentation
bin11011101101100…
…11010110100000
3121012102200210001
431312303112200
5434003014140
635022345344
75521650604
oct1566632640
9535380701
10232469920
1110a250101
1265a2b254
1339215587
1422c35504
151561ee9a
hexddb35a0

232469920 has 48 divisors (see below), whose sum is σ = 552158208. Its totient is φ = 92488960.

The previous prime is 232469873. The next prime is 232469933. The reversal of 232469920 is 29964232.

It is a self number, because there is not a number n which added to its sum of digits gives 232469920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26757 + ... + 34363.

It is an arithmetic number, because the mean of its divisors is an integer number (11503296).

Almost surely, 2232469920 is an apocalyptic number.

232469920 is a gapful number since it is divisible by the number (20) 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 232469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276079104).

232469920 is an abundant number, since it is smaller than the sum of its proper divisors (319688288).

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

232469920 is a wasteful number, since it uses less digits than its factorization.

232469920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 232469920 is about 15246.9642880148. The cubic root of 232469920 is about 614.8779540575.

The spelling of 232469920 in words is "two hundred thirty-two million, four hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 3056 3820 6112 7607 7640 15214 15280 30428 30560 38035 60856 76070 121712 152140 243424 304280 608560 1217120 1452937 2905874 5811748 7264685 11623496 14529370 23246992 29058740 46493984 58117480 116234960 232469920