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230368424 = 231113792549
BaseRepresentation
bin11011011101100…
…10010010101000
3121001110221001212
431232302102220
5432433242144
634505332252
75465046026
oct1556622250
9531427055
10230368424
11109045230
1265197088
133895aba0
1422849716
151535749e
hexdbb24a8

230368424 has 64 divisors (see below), whose sum is σ = 514080000. Its totient is φ = 95397120.

The previous prime is 230368423. The next prime is 230368433. The reversal of 230368424 is 424863032.

230368424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2303684242 = 106139221552487552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230368421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89102 + ... + 91650.

It is an arithmetic number, because the mean of its divisors is an integer number (8032500).

Almost surely, 2230368424 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 230368424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040000).

230368424 is an abundant number, since it is smaller than the sum of its proper divisors (283711576).

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

230368424 is a wasteful number, since it uses less digits than its factorization.

230368424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 230368424 is about 15177.8926073418. The cubic root of 230368424 is about 613.0195388638.

The spelling of 230368424 in words is "two hundred thirty million, three hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 79 88 104 143 158 286 316 572 632 869 1027 1144 1738 2054 2549 3476 4108 5098 6952 8216 10196 11297 20392 22594 28039 33137 45188 56078 66274 90376 112156 132548 201371 224312 265096 364507 402742 729014 805484 1458028 1610968 2215081 2617823 2916056 4430162 5235646 8860324 10471292 17720648 20942584 28796053 57592106 115184212 230368424