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228497960 = 23529281701
BaseRepresentation
bin11011001111010…
…01101000101000
3120220221220021102
431213221220220
5431443413320
634401300532
75443125545
oct1547515050
9526856242
10228497960
11107a87999
1264634748
13384546c2
14224bdbcc
15150d8175
hexd9e9a28

228497960 has 64 divisors (see below), whose sum is σ = 534502800. Its totient is φ = 87808000.

The previous prime is 228497923. The next prime is 228498007. The reversal of 228497960 is 69794822.

228497960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 165739876 + 62758084 = 12874^2 + 7922^2 .

It is a super-2 number, since 2×2284979602 = 104422635448323200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325610 + ... + 326310.

Almost surely, 2228497960 is an apocalyptic number.

228497960 is a gapful number since it is divisible by the number (20) 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 228497960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267251400).

228497960 is an abundant number, since it is smaller than the sum of its proper divisors (306004840).

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

228497960 is a wasteful number, since it uses less digits than its factorization.

228497960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 228497960 is about 15116.1489804778. The cubic root of 228497960 is about 611.3559017361.

The spelling of 228497960 in words is "two hundred twenty-eight million, four hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 281 290 562 580 701 1124 1160 1402 1405 2248 2804 2810 3505 5608 5620 7010 8149 11240 14020 16298 20329 28040 32596 40658 40745 65192 81316 81490 101645 162632 162980 196981 203290 325960 393962 406580 787924 813160 984905 1575848 1969810 3939620 5712449 7879240 11424898 22849796 28562245 45699592 57124490 114248980 228497960