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228507825 = 35272134783
BaseRepresentation
bin11011001111011…
…00000010110001
3120220222101210210
431213230002301
5431444222300
634401414333
75443166400
oct1547540261
9526871723
10228507825
11107a94347
126463a3a9
1338459040
14224c3637
15150db050
hexd9ec0b1

228507825 has 72 divisors (see below), whose sum is σ = 473386368. Its totient is φ = 96405120.

The previous prime is 228507823. The next prime is 228507827. The reversal of 228507825 is 528705822.

It is a happy number.

228507825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228507823) and next prime (228507827).

It is not a de Polignac number, because 228507825 - 21 = 228507823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228507821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45384 + ... + 50166.

Almost surely, 2228507825 is an apocalyptic number.

228507825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

228507825 is an abundant number, since it is smaller than the sum of its proper divisors (244878543).

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

228507825 is a wasteful number, since it uses less digits than its factorization.

228507825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 228507825 is about 15116.4752836103. The cubic root of 228507825 is about 611.3646996836.

The spelling of 228507825 in words is "two hundred twenty-eight million, five hundred seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 455 525 637 735 975 1225 1365 1911 2275 3185 3675 4783 6825 9555 14349 15925 23915 33481 47775 62179 71745 100443 119575 167405 186537 234367 310895 358725 435253 502215 703101 837025 932685 1171835 1305759 1554475 2176265 2511075 3046771 3515505 4663425 5859175 6528795 9140313 10881325 15233855 17577525 32643975 45701565 76169275 228507825