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228376260 = 2235573137
BaseRepresentation
bin11011001110010…
…11111011000100
3120220201201100000
431213023323010
5431431020020
634354521300
75442111000
oct1547137304
9526651300
10228376260
11107a04512
1264596230
13384111a8
142248b700
15150b2090
hexd9cbec4

228376260 has 288 divisors, whose sum is σ = 843897600. Its totient is φ = 51819264.

The previous prime is 228376241. The next prime is 228376261. The reversal of 228376260 is 62673822.

228376260 is a `hidden beast` number, since 2 + 28 + 3 + 7 + 626 + 0 = 666.

It is a super-3 number, since 3×2283762603 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228376261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1666912 + ... + 1667048.

It is an arithmetic number, because the mean of its divisors is an integer number (2930200).

Almost surely, 2228376260 is an apocalyptic number.

228376260 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 228376260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421948800).

228376260 is an abundant number, since it is smaller than the sum of its proper divisors (615521340).

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

228376260 is a wasteful number, since it uses less digits than its factorization.

228376260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 228376260 is about 15112.1229481499. The cubic root of 228376260 is about 611.2473446382.

It can be divided in two parts, 2283762 and 60, that added together give a palindrome (2283822).

The spelling of 228376260 in words is "two hundred twenty-eight million, three hundred seventy-six thousand, two hundred sixty".