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225787968018 = 23437210092
BaseRepresentation
bin1101001001001000000…
…0101111101000010010
3210120210112220012020000
43102102000233220102
512144403204434033
6251420415430430
722212144030144
oct3222200575022
9716715805200
10225787968018
1187835470268
1237913b25416
13183a3b84b52
14acdcd80c94
155d173e3a13
hex349202fa12

225787968018 has 90 divisors (see below), whose sum is σ = 520491556431. Its totient is φ = 73155954816.

The previous prime is 225787968013. The next prime is 225787968031. The reversal of 225787968018 is 810869787522.

It can be written as a sum of positive squares in 5 ways, for example, as 168376453569 + 57411514449 = 410337^2 + 239607^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335997.

It is not an unprimeable number, because it can be changed into a prime (225787968013) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 223773498 + ... + 223774506.

Almost surely, 2225787968018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225787968018

225787968018 is an abundant number, since it is smaller than the sum of its proper divisors (294703588413).

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

225787968018 is an frugal number, since it uses more digits than its factorization.

225787968018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 225787968018 in words is "two hundred twenty-five billion, seven hundred eighty-seven million, nine hundred sixty-eight thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1009 1369 1998 2018 2738 2997 3027 4107 5994 6054 8214 9081 12321 18162 24642 27243 36963 37333 54486 73926 74666 81729 110889 111999 163458 221778 223998 335997 671994 1007991 1018081 1381321 2015982 2036162 2762642 3023973 3054243 4143963 6047946 6108486 8287926 9162729 12431889 18325458 24863778 27488187 37295667 37668997 54976374 74591334 75337994 82464561 111887001 113006991 164929122 223774002 226013982 339020973 678041946 1017062919 1393752889 2034125838 2787505778 3051188757 4181258667 6102377514 8362517334 12543776001 25087552002 37631328003 75262656006 112893984009 225787968018