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225724274132 = 22743226782699
BaseRepresentation
bin1101001000111000110…
…1110001010111010100
3210120122010001012122012
43102032031301113110
512144240403233012
6251410222323352
722210441446530
oct3221615612724
9716563035565
10225724274132
1187802517095
12378b6729558
1318393913766
14acd4720bc0
155d11a11622
hex348e3715d4

225724274132 has 48 divisors (see below), whose sum is σ = 462156710400. Its totient is φ = 94446408672.

The previous prime is 225724274131. The next prime is 225724274179. The reversal of 225724274132 is 231472427522.

225724274132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225724274132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225724274131) 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 15 ways as a sum of consecutive naturals, for example, 2688119 + ... + 2770817.

It is an arithmetic number, because the mean of its divisors is an integer number (9628264800).

Almost surely, 2225724274132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225724274132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231078355200).

225724274132 is an abundant number, since it is smaller than the sum of its proper divisors (236432436268).

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

225724274132 is a wasteful number, since it uses less digits than its factorization.

225724274132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85020 (or 85018 counting only the distinct ones).

The product of its digits is 376320, while the sum is 41.

The spelling of 225724274132 in words is "two hundred twenty-five billion, seven hundred twenty-four million, two hundred seventy-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 2267 4534 9068 15869 31738 63476 82699 97481 165398 194962 330796 389924 578893 682367 1157786 1364734 2315572 2729468 3556057 7112114 14224228 24892399 49784798 99569596 187478633 374957266 749914532 1312350431 2624700862 5249401724 8061581219 16123162438 32246324876 56431068533 112862137066 225724274132