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225223440534 = 23253599394129
BaseRepresentation
bin1101000111000001011…
…1001111100010010110
3210112100012122020002200
43101300113033202112
512142224200044114
6251244411545330
722162150441341
oct3216027174226
9715305566080
10225223440534
1187575840424
1237796a5b246
1318313c29111
14ac87dcd458
155cd2a81409
hex34705cf896

225223440534 has 48 divisors (see below), whose sum is σ = 498022668000. Its totient is φ = 73534825728.

The previous prime is 225223440511. The next prime is 225223440539. The reversal of 225223440534 is 435044322522.

225223440534 is a `hidden beast` number, since 2 + 2 + 52 + 2 + 34 + 40 + 534 = 666.

225223440534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225223440539) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 374382 + ... + 768510.

It is an arithmetic number, because the mean of its divisors is an integer number (10375472250).

Almost surely, 2225223440534 is an apocalyptic number.

225223440534 is an abundant number, since it is smaller than the sum of its proper divisors (272799227466).

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

225223440534 is a wasteful number, since it uses less digits than its factorization.

225223440534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394789 (or 394786 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 225223440534 in words is "two hundred twenty-five billion, two hundred twenty-three million, four hundred forty thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 599 954 1198 1797 3594 5391 10782 31747 63494 95241 190482 285723 394129 571446 788258 1182387 2364774 3547161 7094322 20888837 41777674 62666511 125333022 187999533 236083271 375999066 472166542 708249813 1416499626 2124749439 4249498878 12512413363 25024826726 37537240089 75074480178 112611720267 225223440534