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228127504 = 24112335563
BaseRepresentation
bin11011001100011…
…11001100010000
3120220021002002211
431212033030100
5431400040004
634345321504
75440023523
oct1546171420
9526232084
10228127504
11107854630
1264496294
1338354bb7
1422424bba
1515063504
hexd98f310

228127504 has 40 divisors (see below), whose sum is σ = 484335072. Its totient is φ = 103230720.

The previous prime is 228127499. The next prime is 228127507. The reversal of 228127504 is 405721822.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (228127507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38227 + ... + 43789.

Almost surely, 2228127504 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 228127504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242167536).

228127504 is an abundant number, since it is smaller than the sum of its proper divisors (256207568).

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

228127504 is a wasteful number, since it uses less digits than its factorization.

228127504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 228127504 is about 15103.8903597716. The cubic root of 228127504 is about 611.0253328223.

The spelling of 228127504 in words is "two hundred twenty-eight million, one hundred twenty-seven thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 233 466 932 1864 2563 3728 5126 5563 10252 11126 20504 22252 41008 44504 61193 89008 122386 244772 489544 979088 1296179 2592358 5184716 10369432 14257969 20738864 28515938 57031876 114063752 228127504