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230120424 = 23326774721
BaseRepresentation
bin11011011011101…
…01101111101000
3121001000022212200
431231311233220
5432402323144
634500140200
75462664012
oct1555655750
9531008780
10230120424
11108995976
1265097660
13388a2041
14227c31b2
1515308c69
hexdb75be8

230120424 has 48 divisors (see below), whose sum is σ = 624295620. Its totient is φ = 76577280.

The previous prime is 230120389. The next prime is 230120441. The reversal of 230120424 is 424021032.

230120424 is a `hidden beast` number, since 230 + 12 + 0 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199317924 + 30802500 = 14118^2 + 5550^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230120397 and 230120406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46384 + ... + 51104.

Almost surely, 2230120424 is an apocalyptic number.

230120424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230120424 is an abundant number, since it is smaller than the sum of its proper divisors (394175196).

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

230120424 is a wasteful number, since it uses less digits than its factorization.

230120424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230120424 is about 15169.7206302555. The cubic root of 230120424 is about 612.7994805900.

Adding to 230120424 its reverse (424021032), we get a palindrome (654141456).

The spelling of 230120424 in words is "two hundred thirty million, one hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 677 1354 2031 2708 4062 4721 5416 6093 8124 9442 12186 14163 16248 18884 24372 28326 37768 42489 48744 56652 84978 113304 169956 339912 3196117 6392234 9588351 12784468 19176702 25568936 28765053 38353404 57530106 76706808 115060212 230120424