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225756434225 = 5272441528487
BaseRepresentation
bin1101001001000000100…
…0011100111100110001
3210120201100120002222202
43102100020130330301
512144322121343400
6251413331512545
722211312012660
oct3222010347461
9716640502882
10225756434225
1187819692483
1237905458755
131839a4939ba
14acd8ad2dd7
155d147654d5
hex349021cf31

225756434225 has 24 divisors (see below), whose sum is σ = 320060788608. Its totient is φ = 154740700800.

The previous prime is 225756434209. The next prime is 225756434231. The reversal of 225756434225 is 522434657522.

It is not a de Polignac number, because 225756434225 - 24 = 225756434209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225756434225.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162932 + ... + 691418.

It is an arithmetic number, because the mean of its divisors is an integer number (13335866192).

Almost surely, 2225756434225 is an apocalyptic number.

225756434225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225756434225 is a deficient number, since it is larger than the sum of its proper divisors (94304354383).

225756434225 is a wasteful number, since it uses less digits than its factorization.

225756434225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530945 (or 530940 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 47.

The spelling of 225756434225 in words is "two hundred twenty-five billion, seven hundred fifty-six million, four hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 175 2441 12205 17087 61025 85435 427175 528487 2642435 3699409 13212175 18497045 92485225 1290036767 6450183835 9030257369 32250919175 45151286845 225756434225