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228815904 = 25310123599
BaseRepresentation
bin11011010001101…
…11010000100000
3120221120001102010
431220313100200
5432034102104
634412152520
75445621522
oct1550672040
9527501363
10228815904
11108184859
1264768740
1338536335
1422563a12
151514c489
hexda37420

228815904 has 48 divisors (see below), whose sum is σ = 606614400. Its totient is φ = 75513600.

The previous prime is 228815863. The next prime is 228815927. The reversal of 228815904 is 409518822.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2104 + ... + 21495.

It is an arithmetic number, because the mean of its divisors is an integer number (12637800).

Almost surely, 2228815904 is an apocalyptic number.

228815904 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 228815904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303307200).

228815904 is an abundant number, since it is smaller than the sum of its proper divisors (377798496).

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

228815904 is a wasteful number, since it uses less digits than its factorization.

228815904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23713 (or 23705 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 228815904 is about 15126.6620243859. The cubic root of 228815904 is about 611.6393278333.

The spelling of 228815904 in words is "two hundred twenty-eight million, eight hundred fifteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 23599 47198 70797 94396 141594 188792 283188 377584 566376 755168 1132752 2265504 2383499 4766998 7150497 9533996 14300994 19067992 28601988 38135984 57203976 76271968 114407952 228815904