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228835125 = 345397233
BaseRepresentation
bin11011010001110…
…11111100110101
3120221121000210000
431220323330311
5432040211000
634412421513
75446031541
oct1550737465
9527530700
10228835125
11108198242
1264777899
1338541ccc
142256aa21
1515153000
hexda3bf35

228835125 has 80 divisors (see below), whose sum is σ = 432864432. Its totient is φ = 120268800.

The previous prime is 228835097. The next prime is 228835129. The reversal of 228835125 is 521538822.

228835125 is a `hidden beast` number, since 2 + 288 + 351 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 115476516 + 113358609 = 10746^2 + 10647^2 .

It is not a de Polignac number, because 228835125 - 210 = 228834101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 228835125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228835129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 982009 + ... + 982241.

Almost surely, 2228835125 is an apocalyptic number.

228835125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

228835125 is a deficient number, since it is larger than the sum of its proper divisors (204029307).

228835125 is an equidigital number, since it uses as much as digits as its factorization.

228835125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 228835125 is about 15127.2973461884. The cubic root of 228835125 is about 611.6564536684.

The spelling of 228835125 in words is "two hundred twenty-eight million, eight hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 97 125 135 225 233 291 375 405 485 675 699 873 1125 1165 1455 2025 2097 2425 2619 3375 3495 4365 5825 6291 7275 7857 10125 10485 12125 13095 17475 18873 21825 22601 29125 31455 36375 39285 52425 65475 67803 87375 94365 109125 113005 157275 196425 203409 262125 327375 339015 471825 565025 610227 786375 982125 1017045 1695075 1830681 2359125 2825125 3051135 5085225 8475375 9153405 15255675 25426125 45767025 76278375 228835125