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230383424 = 26291011229
BaseRepresentation
bin11011011101101…
…01111101000000
3121001111200122102
431232311331000
5432434232144
634505525532
75465140535
oct1556657500
9531450572
10230383424
11109055527
12651a38a8
133896496b
1422850d8c
151535bb4e
hexdbb5f40

230383424 has 56 divisors (see below), whose sum is σ = 478002600. Its totient is φ = 110028800.

The previous prime is 230383411. The next prime is 230383441. The reversal of 230383424 is 424383032.

It can be written as a sum of positive squares in 4 ways, for example, as 170041600 + 60341824 = 13040^2 + 7768^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 186842 + ... + 188070.

Almost surely, 2230383424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230383424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239001300).

230383424 is an abundant number, since it is smaller than the sum of its proper divisors (247619176).

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

230383424 is a wasteful number, since it uses less digits than its factorization.

230383424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 230383424 is about 15178.3867390444. The cubic root of 230383424 is about 613.0328437739.

It can be divided in two parts, 23038 and 3424, that added together give a palindrome (26462).

The spelling of 230383424 in words is "two hundred thirty million, three hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 101 116 202 232 404 464 808 928 1229 1616 1856 2458 2929 3232 4916 5858 6464 9832 11716 19664 23432 35641 39328 46864 71282 78656 93728 124129 142564 187456 248258 285128 496516 570256 993032 1140512 1986064 2281024 3599741 3972128 7199482 7944256 14398964 28797928 57595856 115191712 230383424