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225204142040505 = 325122031661924677
BaseRepresentation
bin110011001101001001101100…
…111000110110010110111001
31002112101022020212110211112100
4303031021230320312112321
5214004221040330244010
62114545204332334013
765302314402661455
oct6315115470662671
91075338225424470
10225204142040505
11658365a4138411
12213120a3614309
139887875b1a784
143d87d1d875665
151b0812354c2c0
hexccd26ce365b9

225204142040505 has 48 divisors (see below), whose sum is σ = 390425145664320. Its totient is φ = 120086940027264.

The previous prime is 225204142040477. The next prime is 225204142040513. The reversal of 225204142040505 is 505040241402522.

225204142040505 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 0 + 4 + 142 + 0 + 4 + 0 + 505 = 666.

It is not a de Polignac number, because 225204142040505 - 26 = 225204142040441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225204142040505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9126062227 + ... + 9126086903.

It is an arithmetic number, because the mean of its divisors is an integer number (8133857201340).

Almost surely, 2225204142040505 is an apocalyptic number.

It is an amenable number.

225204142040505 is a deficient number, since it is larger than the sum of its proper divisors (165221003623815).

225204142040505 is a wasteful number, since it uses less digits than its factorization.

225204142040505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53510 (or 53507 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 225204142040505 in words is "two hundred twenty-five trillion, two hundred four billion, one hundred forty-two million, forty thousand, five hundred five".

Divisors: 1 3 5 9 15 45 12203 16619 24677 36609 49857 61015 74031 83095 109827 123385 149571 183045 222093 249285 370155 549135 747855 1110465 202801657 301133431 410107063 608404971 903400293 1014008285 1230321189 1505667155 1825214913 2050535315 2710200879 3042024855 3690963567 4517001465 6151605945 9126074565 13551004395 18454817835 5004536489789 15013609469367 25022682448945 45040828408101 75068047346835 225204142040505