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225269544 = 23323676091
BaseRepresentation
bin11010110110101…
…01011100101000
3120200212212201110
431123111130220
5430132111134
634204150320
75403521343
oct1533253450
9520785643
10225269544
11106182385
12635383a0
13378940b6
1421cbd45a
1514b9b7e9
hexd6d5728

225269544 has 64 divisors (see below), whose sum is σ = 596528640. Its totient is φ = 70741440.

The previous prime is 225269509. The next prime is 225269573. The reversal of 225269544 is 445962522.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33939 + ... + 40029.

It is an arithmetic number, because the mean of its divisors is an integer number (9320760).

Almost surely, 2225269544 is an apocalyptic number.

225269544 is a gapful number since it is divisible by the number (24) 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 225269544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298264320).

225269544 is an abundant number, since it is smaller than the sum of its proper divisors (371259096).

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

225269544 is a wasteful number, since it uses less digits than its factorization.

225269544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6186 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 225269544 is about 15008.9821107229. The cubic root of 225269544 is about 608.4629798283.

The spelling of 225269544 in words is "two hundred twenty-five million, two hundred sixty-nine thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 67 69 92 134 138 184 201 268 276 402 536 552 804 1541 1608 3082 4623 6091 6164 9246 12182 12328 18273 18492 24364 36546 36984 48728 73092 140093 146184 280186 408097 420279 560372 816194 840558 1120744 1224291 1632388 1681116 2448582 3264776 3362232 4897164 9386231 9794328 18772462 28158693 37544924 56317386 75089848 112634772 225269544