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225941208642 = 23219925632
BaseRepresentation
bin1101001001101100100…
…1010011111001000010
3210121012020020121211200
43102123021103321002
512200211422134032
6251443532122030
722216014404622
oct3223311237102
9717166217750
10225941208642
1187903a16206
1237957306316
13183c9849a86
14ad15470882
155d25ab347c
hex349b253e42

225941208642 has 54 divisors (see below), whose sum is σ = 492887106387. Its totient is φ = 74802175272.

The previous prime is 225941208629. The next prime is 225941208683. The reversal of 225941208642 is 246802149522.

225941208642 is a `hidden beast` number, since 2 + 2 + 594 + 12 + 0 + 8 + 6 + 42 = 666.

225941208642 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 only one way, i.e., 112970604321 + 112970604321 = 336111^2 + 336111^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336111.

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, 401316253 + ... + 401316815.

Almost surely, 2225941208642 is an apocalyptic number.

225941208642 is an abundant number, since it is smaller than the sum of its proper divisors (266945897745).

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

225941208642 is an frugal number, since it uses more digits than its factorization.

225941208642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 225941208642 in words is "two hundred twenty-five billion, nine hundred forty-one million, two hundred eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 199 398 563 597 1126 1194 1689 1791 3378 3582 5067 10134 39601 79202 112037 118803 224074 237606 316969 336111 356409 633938 672222 712818 950907 1008333 1901814 2016666 2852721 5705442 22295363 44590726 63076831 66886089 126153662 133772178 189230493 200658267 378460986 401316534 567691479 1135382958 12552289369 25104578738 37656868107 75313736214 112970604321 225941208642