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225192448 = 2913231471
BaseRepresentation
bin11010110110000…
…10101000000000
3120200201221222001
431123002220000
5430122124243
634202353344
75403050515
oct1533025000
9520657861
10225192448
1110612a468
12634bb854
1337867c90
1421c9d30c
1514b83a4d
hexd6c2a00

225192448 has 80 divisors (see below), whose sum is σ = 505967616. Its totient is φ = 99348480.

The previous prime is 225192391. The next prime is 225192449. The reversal of 225192448 is 844291522.

It is not an unprimeable number, because it can be changed into a prime (225192449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152353 + ... + 153823.

Almost surely, 2225192448 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 225192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252983808).

225192448 is an abundant number, since it is smaller than the sum of its proper divisors (280775168).

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

225192448 is a wasteful number, since it uses less digits than its factorization.

225192448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1509 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 225192448 is about 15006.4135622073. The cubic root of 225192448 is about 608.3935586754.

The spelling of 225192448 in words is "two hundred twenty-five million, one hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1196 1471 1472 1664 2392 2942 2944 3328 4784 5884 5888 6656 9568 11768 11776 19123 19136 23536 33833 38246 38272 47072 67666 76492 76544 94144 135332 152984 153088 188288 270664 305968 376576 439829 541328 611936 753152 879658 1082656 1223872 1759316 2165312 2447744 3518632 4330624 4895488 7037264 8661248 9790976 14074528 17322496 28149056 56298112 112596224 225192448