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228130560 = 2833572341
BaseRepresentation
bin11011001100011…
…11111100000000
3120220021020022000
431212033330000
5431400134220
634345344000
75440035450
oct1546177400
9526236260
10228130560
11107856959
1264498000
13383563c8
1422425d60
1515064390
hexd98ff00

228130560 has 576 divisors, whose sum is σ = 988968960. Its totient is φ = 48660480.

The previous prime is 228130547. The next prime is 228130579. The reversal of 228130560 is 65031822.

228130560 is a `hidden beast` number, since 22 + 81 + 3 + 0 + 560 = 666.

228130560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5564140 + ... + 5564180.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2228130560 is an apocalyptic number.

228130560 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 228130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494484480).

228130560 is an abundant number, since it is smaller than the sum of its proper divisors (760838400).

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

228130560 is a wasteful number, since it uses less digits than its factorization.

228130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 228130560 is about 15103.9915254214. The cubic root of 228130560 is about 611.0280612454.

The spelling of 228130560 in words is "two hundred twenty-eight million, one hundred thirty thousand, five hundred sixty".