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225300204045 = 3257739797791
BaseRepresentation
bin1101000111010011110…
…0000100101000001101
3210112112120002012211200
43101310330010220031
512142403323012140
6251300153140113
722164102064560
oct3216474045015
9715476065750
10225300204045
1187605100a44
12377b86ba639
1318326ac5307
14ac942924d7
155cd9696030
hex3474f04a0d

225300204045 has 48 divisors (see below), whose sum is σ = 452422843392. Its totient is φ = 101583486720.

The previous prime is 225300204013. The next prime is 225300204053. The reversal of 225300204045 is 540402003522.

It is a happy number.

225300204045 is a `hidden beast` number, since 2 + 253 + 0 + 0 + 2 + 0 + 404 + 5 = 666.

It is not a de Polignac number, because 225300204045 - 25 = 225300204013 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 4875901 + ... + 4921890.

It is an arithmetic number, because the mean of its divisors is an integer number (9425475904).

Almost surely, 2225300204045 is an apocalyptic number.

It is an amenable number.

225300204045 is an abundant number, since it is smaller than the sum of its proper divisors (227122639347).

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

225300204045 is a wasteful number, since it uses less digits than its factorization.

225300204045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9797882 (or 9797879 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 225300204045 its reverse (540402003522), we get a palindrome (765702207567).

The spelling of 225300204045 in words is "two hundred twenty-five billion, three hundred million, two hundred four thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 73 105 219 315 365 511 657 1095 1533 2555 3285 4599 7665 22995 9797791 29393373 48988955 68584537 88180119 146966865 205753611 342922685 440900595 617260833 715238743 1028768055 2145716229 3086304165 3576193715 5006671201 6437148687 10728581145 15020013603 25033356005 32185743435 45060040809 75100068015 225300204045