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225265534635264 = 2832237131119579
BaseRepresentation
bin110011001110000010111000…
…001011000000110100000000
31002112121011201102110210011020
4303032002320023000310000
5214011222303331312024
62115033320304545440
765306616642300264
oct6316027013006400
91075534642423136
10225265534635264
116585a638706532
1221321b77922280
1398905aac32916
143d8aca52700a4
151b09a18180979
hexcce0b82c0d00

225265534635264 has 72 divisors (see below), whose sum is σ = 599802847361760. Its totient is φ = 75054944360448.

The previous prime is 225265534635233. The next prime is 225265534635277. The reversal of 225265534635264 is 462536435562522.

It is a super-2 number, since 2×2252655346352642 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225265534635198 and 225265534635207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63841774 + ... + 67277805.

Almost surely, 2225265534635264 is an apocalyptic number.

225265534635264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225265534635264 is an abundant number, since it is smaller than the sum of its proper divisors (374537312726496).

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

225265534635264 is a wasteful number, since it uses less digits than its factorization.

225265534635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131121835 (or 131121821 counting only the distinct ones).

The product of its digits is 311040000, while the sum is 60.

The spelling of 225265534635264 in words is "two hundred twenty-five trillion, two hundred sixty-five billion, five hundred thirty-four million, six hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2237 4474 6711 8948 13422 17896 26844 35792 53688 71584 107376 143168 214752 286336 429504 572672 859008 1718016 131119579 262239158 393358737 524478316 786717474 1048956632 1573434948 2097913264 3146869896 4195826528 6293739792 8391653056 12587479584 16783306112 25174959168 33566612224 50349918336 100699836672 293314498223 586628996446 879943494669 1173257992892 1759886989338 2346515985784 3519773978676 4693031971568 7039547957352 9386063943136 14079095914704 18772127886272 28158191829408 37544255772544 56316383658816 75088511545088 112632767317632 225265534635264