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230392032 = 25313184609
BaseRepresentation
bin11011011101110…
…00000011100000
3121001112010110020
431232320003200
5432440021112
634510033440
75465204613
oct1556700340
9531463406
10230392032
11109060a42
12651a8880
1338968860
142285417a
151535e48c
hexdbb80e0

230392032 has 48 divisors (see below), whose sum is σ = 651304080. Its totient is φ = 70889472.

The previous prime is 230392003. The next prime is 230392067. The reversal of 230392032 is 230293032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230391993 and 230392011.

It is a congruent number.

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, 91057 + ... + 93552.

It is an arithmetic number, because the mean of its divisors is an integer number (13568835).

Almost surely, 2230392032 is an apocalyptic number.

It is an amenable number.

230392032 is an abundant number, since it is smaller than the sum of its proper divisors (420912048).

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

230392032 is a wasteful number, since it uses less digits than its factorization.

230392032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184635 (or 184627 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 230392032 is about 15178.6702974931. The cubic root of 230392032 is about 613.0404787575.

The spelling of 230392032 in words is "two hundred thirty million, three hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 184609 369218 553827 738436 1107654 1476872 2215308 2399917 2953744 4430616 4799834 5907488 7199751 8861232 9599668 14399502 17722464 19199336 28799004 38398672 57598008 76797344 115196016 230392032