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230252032 = 291923669
BaseRepresentation
bin11011011100101…
…01111000000000
3121001021000102001
431232111320000
5432421031112
634503033344
75464052503
oct1556257000
9531230361
10230252032
11108a7583a
126513b854
1338919c0a
142281913a
1515332c57
hexdb95e00

230252032 has 40 divisors (see below), whose sum is σ = 484288200. Its totient is φ = 109062144.

The previous prime is 230252021. The next prime is 230252047.

230252032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 3 ways as a sum of consecutive naturals, for example, 2107 + ... + 21562.

It is an arithmetic number, because the mean of its divisors is an integer number (12107205).

Almost surely, 2230252032 is an apocalyptic number.

It is an amenable number.

230252032 is an abundant number, since it is smaller than the sum of its proper divisors (254036168).

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

230252032 is an equidigital number, since it uses as much as digits as its factorization.

230252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23706 (or 23690 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 230252032 is about 15174.0578620223. The cubic root of 230252032 is about 612.9162802245.

The spelling of 230252032 in words is "two hundred thirty million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 23669 47338 94676 189352 378704 449711 757408 899422 1514816 1798844 3029632 3597688 6059264 7195376 12118528 14390752 28781504 57563008 115126016 230252032