Search a number
-
+
224313504 = 25317137447
BaseRepresentation
bin11010101111011…
…00000010100000
3120122002022021120
431113230002200
5424411013004
634131452240
75362430142
oct1527540240
9518068246
10224313504
1110568a068
1263157080
133761abac
1421b10c92
1514a5d3d9
hexd5ec0a0

224313504 has 48 divisors (see below), whose sum is σ = 623464128. Its totient is φ = 70372352.

The previous prime is 224313491. The next prime is 224313511. The reversal of 224313504 is 405313422.

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 67092 + ... + 70355.

It is an arithmetic number, because the mean of its divisors is an integer number (12988836).

Almost surely, 2224313504 is an apocalyptic number.

224313504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224313504 is an abundant number, since it is smaller than the sum of its proper divisors (399150624).

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

224313504 is a wasteful number, since it uses less digits than its factorization.

224313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137477 (or 137469 counting only the distinct ones).

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

The square root of 224313504 is about 14977.0993186264. The cubic root of 224313504 is about 607.6009905095.

Adding to 224313504 its reverse (405313422), we get a palindrome (629626926).

The spelling of 224313504 in words is "two hundred twenty-four million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 137447 274894 412341 549788 824682 1099576 1649364 2199152 2336599 3298728 4398304 4673198 6597456 7009797 9346396 13194912 14019594 18692792 28039188 37385584 56078376 74771168 112156752 224313504