Search a number
-
+
225256128 = 2638211429
BaseRepresentation
bin11010110110100…
…10001011000000
3120200212012022120
431123102023000
5430131144003
634204004240
75403434256
oct1533221300
9520765276
10225256128
11106173299
1263530680
133788ac66
1421cb85d6
1514b97853
hexd6d22c0

225256128 has 56 divisors (see below), whose sum is σ = 597133680. Its totient is φ = 74941440.

The previous prime is 225256127. The next prime is 225256139. The reversal of 225256128 is 821652522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (225256127) 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, 156918 + ... + 158346.

Almost surely, 2225256128 is an apocalyptic number.

It is an amenable number.

225256128 is an abundant number, since it is smaller than the sum of its proper divisors (371877552).

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

225256128 is a wasteful number, since it uses less digits than its factorization.

225256128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2255 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 225256128 is about 15008.5351716948. The cubic root of 225256128 is about 608.4509005192.

The spelling of 225256128 in words is "two hundred twenty-five million, two hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 821 1429 1642 2463 2858 3284 4287 4926 5716 6568 8574 9852 11432 13136 17148 19704 22864 26272 34296 39408 45728 52544 68592 78816 91456 137184 157632 274368 1173209 2346418 3519627 4692836 7039254 9385672 14078508 18771344 28157016 37542688 56314032 75085376 112628064 225256128