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225054746802 = 23231236072
BaseRepresentation
bin1101000110011001001…
…1101110100010110010
3210111220110012200210200
43101212103232202302
512141403003344202
6251215544140030
722155031533024
oct3214623564262
9714813180720
10225054746802
11874995a0316
123774a467616
13182b7cb3542
14ac6d83a014
155cc2d5ce1c
hex34664ee8b2

225054746802 has 54 divisors (see below), whose sum is σ = 503995385439. Its totient is φ = 72578178360.

The previous prime is 225054746783. The next prime is 225054746827. The reversal of 225054746802 is 208647450522.

225054746802 is a `hidden beast` number, since 2 + 25 + 0 + 547 + 4 + 6 + 80 + 2 = 666.

225054746802 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112527373401 + 112527373401 = 335451^2 + 335451^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335451.

It is a super-2 number, since 2×2250547468022 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62392083 + ... + 62395689.

Almost surely, 2225054746802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225054746802

225054746802 is an abundant number, since it is smaller than the sum of its proper divisors (278940638637).

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

225054746802 is an frugal number, since it uses more digits than its factorization.

225054746802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 225054746802 in words is "two hundred twenty-five billion, fifty-four million, seven hundred forty-six thousand, eight hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 961 1922 2883 3607 5766 7214 8649 10821 17298 21642 32463 64926 111817 223634 335451 670902 1006353 2012706 3466327 6932654 10398981 13010449 20797962 26020898 31196943 39031347 62393886 78062694 117094041 234188082 403323919 806647838 1209971757 2419943514 3629915271 7259830542 12503041489 25006082978 37509124467 75018248934 112527373401 225054746802