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225415104 = 2631769061
BaseRepresentation
bin11010110111110…
…00111111000000
3120201011021101120
431123320333000
5430201240404
634211232240
75404665615
oct1533707700
9521137346
10225415104
11106271782
12635a8680
1337915425
1421d1a50c
1514bc99d9
hexd6f8fc0

225415104 has 56 divisors (see below), whose sum is σ = 631502928. Its totient is φ = 70717440.

The previous prime is 225415093. The next prime is 225415129. The reversal of 225415104 is 401514522.

It is a super-2 number, since 2×2254151042 = 101623938222661632, which contains 22 as substring.

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

It is a congruent number.

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, 31267 + ... + 37794.

It is an arithmetic number, because the mean of its divisors is an integer number (11276838).

Almost surely, 2225415104 is an apocalyptic number.

225415104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225415104 is an abundant number, since it is smaller than the sum of its proper divisors (406087824).

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

225415104 is a wasteful number, since it uses less digits than its factorization.

225415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69093 (or 69083 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 225415104 is about 15013.8304239791. The cubic root of 225415104 is about 608.5940062723.

Adding to 225415104 its reverse (401514522), we get a palindrome (626929626).

The spelling of 225415104 in words is "two hundred twenty-five million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 69061 138122 207183 276244 414366 552488 828732 1104976 1174037 1657464 2209952 2348074 3314928 3522111 4419904 4696148 6629856 7044222 9392296 13259712 14088444 18784592 28176888 37569184 56353776 75138368 112707552 225415104