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230902752 = 2532938209
BaseRepresentation
bin11011100001101…
…00101111100000
3121002111002000210
431300310233200
5433102342002
634525014120
75502432603
oct1560645740
9532432023
10230902752
1110937a723
12653b4340
1338ab7162
142294833a
151541096c
hexdc34be0

230902752 has 48 divisors (see below), whose sum is σ = 608262480. Its totient is φ = 76695552.

The previous prime is 230902739. The next prime is 230902753. The reversal of 230902752 is 257209032.

It is a happy number.

230902752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230902753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24024 + ... + 32232.

It is an arithmetic number, because the mean of its divisors is an integer number (12672135).

Almost surely, 2230902752 is an apocalyptic number.

It is an amenable number.

230902752 is an abundant number, since it is smaller than the sum of its proper divisors (377359728).

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

230902752 is a wasteful number, since it uses less digits than its factorization.

230902752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8507 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 230902752 is about 15195.4845924702. The cubic root of 230902752 is about 613.4931289162.

The spelling of 230902752 in words is "two hundred thirty million, nine hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 586 879 1172 1758 2344 3516 4688 7032 8209 9376 14064 16418 24627 28128 32836 49254 65672 98508 131344 197016 262688 394032 788064 2405237 4810474 7215711 9620948 14431422 19241896 28862844 38483792 57725688 76967584 115451376 230902752