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230263224 = 23371135131
BaseRepresentation
bin11011011100110…
…00100110111000
3121001021120202120
431232120212320
5432421410344
634503201240
75464130232
oct1556304670
9531246676
10230263224
11108a83194
1265146220
1338922039
142281d252
1515336219
hexdb989b8

230263224 has 32 divisors (see below), whose sum is σ = 583770240. Its totient is φ = 75672800.

The previous prime is 230263213. The next prime is 230263279. The reversal of 230263224 is 422362032.

It is a happy number.

230263224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 230263194 and 230263203.

It is a congruent number.

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, 65862 + ... + 69269.

It is an arithmetic number, because the mean of its divisors is an integer number (18242820).

Almost surely, 2230263224 is an apocalyptic number.

230263224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230263224 is an abundant number, since it is smaller than the sum of its proper divisors (353507016).

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

230263224 is a wasteful number, since it uses less digits than its factorization.

230263224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135211 (or 135207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 230263224 is about 15174.4266448522. The cubic root of 230263224 is about 612.9262108612.

The spelling of 230263224 in words is "two hundred thirty million, two hundred sixty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 135131 270262 405393 540524 810786 1081048 1621572 3243144 9594301 19188602 28782903 38377204 57565806 76754408 115131612 230263224