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224297152 = 2631131863
BaseRepresentation
bin11010101111010…
…00000011000000
3120122001110211221
431113220003000
5424410002102
634131244424
75362331362
oct1527500300
9518043757
10224297152
11105678852
1263149714
1337613611
1421b08d32
1514a58637
hexd5e80c0

224297152 has 56 divisors (see below), whose sum is σ = 463491072. Its totient is φ = 107577600.

The previous prime is 224297131. The next prime is 224297179. The reversal of 224297152 is 251792422.

It is a happy number.

It is a super-2 number, since 2×2242971522 = 100618424790622208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259473 + ... + 260335.

Almost surely, 2224297152 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 224297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231745536).

224297152 is an abundant number, since it is smaller than the sum of its proper divisors (239193920).

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

224297152 is a wasteful number, since it uses less digits than its factorization.

224297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1027 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 224297152 is about 14976.5534085784. The cubic root of 224297152 is about 607.5862258569.

The spelling of 224297152 in words is "two hundred twenty-four million, two hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 131 248 262 496 524 863 992 1048 1726 1984 2096 3452 4061 4192 6904 8122 8384 13808 16244 26753 27616 32488 53506 55232 64976 107012 113053 129952 214024 226106 259904 428048 452212 856096 904424 1712192 1808848 3504643 3617696 7009286 7235392 14018572 28037144 56074288 112148576 224297152