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225640502530065 = 325719211178677739
BaseRepresentation
bin110011010011100000000110…
…000000000001000000010001
31002120221000120120201110021200
4303103200012000001000101
5214033343222121430230
62115521452120141413
765345662666642620
oct6323400600010021
91076830516643250
10225640502530065
1165994666273787
1221382783907869
1398b9a674a649c
143da10b6acd6b7
151b14662164160
hexcd3806001011

225640502530065 has 96 divisors (see below), whose sum is σ = 472738417382400. Its totient is φ = 97257866348160.

The previous prime is 225640502530019. The next prime is 225640502530081. The reversal of 225640502530065 is 560035205046522.

225640502530065 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 4 + 0 + 50 + 2 + 530 + 0 + 65 = 666.

It is not a de Polignac number, because 225640502530065 - 212 = 225640502525969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 225640502530065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88076035 + ... + 90601704.

It is an arithmetic number, because the mean of its divisors is an integer number (4924358514400).

Almost surely, 2225640502530065 is an apocalyptic number.

It is an amenable number.

225640502530065 is an abundant number, since it is smaller than the sum of its proper divisors (247097914852335).

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

225640502530065 is a wasteful number, since it uses less digits than its factorization.

225640502530065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178677987 (or 178677984 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 225640502530065 its reverse (560035205046522), we get a palindrome (785675707576587).

The spelling of 225640502530065 in words is "two hundred twenty-five trillion, six hundred forty billion, five hundred two million, five hundred thirty thousand, sixty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 211 285 315 399 633 665 855 1055 1197 1477 1899 1995 3165 4009 4431 5985 7385 9495 12027 13293 20045 22155 28063 36081 60135 66465 84189 140315 180405 252567 420945 1262835 178677739 536033217 893388695 1250744173 1608099651 2680166085 3394877041 3752232519 6253720865 8040498255 10184631123 11256697557 16974385205 18761162595 23764139287 30553893369 37701002929 50923155615 56283487785 71292417861 113103008787 118820696435 152769466845 188505014645 213877253583 263907020503 339309026361 356462089305 565515043935 716319055651 791721061509 1069386267915 1319535102515 1696545131805 2148957166953 2375163184527 3581595278255 3958605307545 5014233389557 6446871500859 10744785834765 11875815922635 15042700168671 25071166947785 32234357504295 45128100506013 75213500843355 225640502530065