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225096088 = 23753149509
BaseRepresentation
bin11010110101010…
…11000110011000
3120200120001210011
431122223012120
5430111033323
634200331304
75402166550
oct1532530630
9520501704
10225096088
11106074028
1263473b34
1337833169
1421c76160
1514b6520d
hexd6ab198

225096088 has 64 divisors (see below), whose sum is σ = 495720000. Its totient is φ = 93829632.

The previous prime is 225096077. The next prime is 225096089. The reversal of 225096088 is 880690522.

225096088 is digitally balanced in base 2, because in such base 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 225096088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225096089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441978 + ... + 442486.

It is an arithmetic number, because the mean of its divisors is an integer number (7745625).

Almost surely, 2225096088 is an apocalyptic number.

225096088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225096088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247860000).

225096088 is an abundant number, since it is smaller than the sum of its proper divisors (270623912).

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

225096088 is a wasteful number, since it uses less digits than its factorization.

225096088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 225096088 is about 15003.2025914469. The cubic root of 225096088 is about 608.3067689574.

The spelling of 225096088 in words is "two hundred twenty-five million, ninety-six thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 149 212 298 371 424 509 596 742 1018 1043 1192 1484 2036 2086 2968 3563 4072 4172 7126 7897 8344 14252 15794 26977 28504 31588 53954 55279 63176 75841 107908 110558 151682 188839 215816 221116 303364 377678 442232 530887 606728 755356 1061774 1510712 2123548 4019573 4247096 8039146 16078292 28137011 32156584 56274022 112548044 225096088