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30224256 = 273312539
BaseRepresentation
bin111001101001…
…0111110000000
32002212112212220
41303102332000
530214134011
62555451040
7514621236
oct163227600
962775786
1030224256
1116073a27
12a156a80
13635309a
14402a956
1529c0506
hex1cd2f80

30224256 has 64 divisors (see below), whose sum is σ = 82905600. Its totient is φ = 9745920.

The previous prime is 30224251. The next prime is 30224267. The reversal of 30224256 is 65242203.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30224251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10635 + ... + 13173.

It is an arithmetic number, because the mean of its divisors is an integer number (1295400).

Almost surely, 230224256 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 30224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41452800).

30224256 is an abundant number, since it is smaller than the sum of its proper divisors (52681344).

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

30224256 is a wasteful number, since it uses less digits than its factorization.

30224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 30224256 is about 5497.6591382151. The cubic root of 30224256 is about 311.4955688501.

Adding to 30224256 its reverse (65242203), we get a palindrome (95466459).

The spelling of 30224256 in words is "thirty million, two hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2539 2976 3968 5078 5952 7617 10156 11904 15234 20312 30468 40624 60936 78709 81248 121872 157418 162496 236127 243744 314836 324992 472254 487488 629672 944508 974976 1259344 1889016 2518688 3778032 5037376 7556064 10074752 15112128 30224256