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225191631618 = 23237230232
BaseRepresentation
bin1101000110111001110…
…1111001101100000010
3210112020222210011110200
43101232131321230002
512142143024202433
6251241314110030
722161313200102
oct3215635715402
9715228704420
10225191631618
1187559894968
123778827b316
131830a46c985
14ac83aad202
155cced9b613
hex346e779b02

225191631618 has 54 divisors (see below), whose sum is σ = 501624437769. Its totient is φ = 73010963952.

The previous prime is 225191631607. The next prime is 225191631631. The reversal of 225191631618 is 816136191522.

It is a happy number.

225191631618 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 9 + 1 + 631 + 6 + 1 + 8 = 666.

225191631618 is digitally balanced in base 3, 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 2 ways, for example, as 181683095049 + 43508536569 = 426243^2 + 208587^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335553.

It is a super-2 number, since 2×2251916316182 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74491255 + ... + 74494277.

Almost surely, 2225191631618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225191631618

225191631618 is an abundant number, since it is smaller than the sum of its proper divisors (276432806151).

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

225191631618 is an frugal number, since it uses more digits than its factorization.

225191631618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 3065 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 225191631618 in words is "two hundred twenty-five billion, one hundred ninety-one million, six hundred thirty-one thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1369 2738 3023 4107 6046 8214 9069 12321 18138 24642 27207 54414 111851 223702 335553 671106 1006659 2013318 4138487 8276974 9138529 12415461 18277058 24830922 27415587 37246383 54831174 74492766 82246761 164493522 338125573 676251146 1014376719 2028753438 3043130157 6086260314 12510646201 25021292402 37531938603 75063877206 112595815809 225191631618