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228987504 = 24327920129
BaseRepresentation
bin11011010011000…
…01001001110000
3120221212202210200
431221201021300
5432110100004
634415555200
75450235024
oct1551411160
9527782720
10228987504
11108291779
126482bb00
1338596485
14225aa384
1515183239
hexda61270

228987504 has 60 divisors (see below), whose sum is σ = 648991200. Its totient is φ = 75359232.

The previous prime is 228987497. The next prime is 228987511. The reversal of 228987504 is 405789822.

228987504 = T252 + T253 + ... + T1115.

It is an interprime number because it is at equal distance from previous prime (228987497) and next prime (228987511).

It is a self number, because there is not a number n which added to its sum of digits gives 228987504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1312 + ... + 21440.

It is an arithmetic number, because the mean of its divisors is an integer number (10816520).

Almost surely, 2228987504 is an apocalyptic number.

228987504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228987504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324495600).

228987504 is an abundant number, since it is smaller than the sum of its proper divisors (420003696).

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

228987504 is a wasteful number, since it uses less digits than its factorization.

228987504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20222 (or 20213 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 228987504 is about 15132.3330653274. Note that the first 3 decimals coincide. The cubic root of 228987504 is about 611.7921888309.

The spelling of 228987504 in words is "two hundred twenty-eight million, nine hundred eighty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 11376 20129 40258 60387 80516 120774 161032 181161 241548 322064 362322 483096 724644 966192 1449288 1590191 2898576 3180382 4770573 6360764 9541146 12721528 14311719 19082292 25443056 28623438 38164584 57246876 76329168 114493752 228987504