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228642563160 = 2333511215111587
BaseRepresentation
bin1101010011110000101…
…0001010010001011000
3210212011111022122121000
43110330022022101120
512221224444010120
6253011551345000
722342655502024
oct3247412122130
9725144278530
10228642563160
1188a6a847900
123838bb22160
131873a3b8bbb
14b0d0137384
155e32d14990
hex353c28a458

228642563160 has 384 divisors, whose sum is σ = 843346828800. Its totient is φ = 55056672000.

The previous prime is 228642563159. The next prime is 228642563183. The reversal of 228642563160 is 61365246822.

228642563160 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 4 + 2 + 5 + 631 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19726887 + ... + 19738473.

It is an arithmetic number, because the mean of its divisors is an integer number (2196215700).

Almost surely, 2228642563160 is an apocalyptic number.

228642563160 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 228642563160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421673414400).

228642563160 is an abundant number, since it is smaller than the sum of its proper divisors (614704265640).

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

228642563160 is a wasteful number, since it uses less digits than its factorization.

228642563160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11780 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 228642563160 in words is "two hundred twenty-eight billion, six hundred forty-two million, five hundred sixty-three thousand, one hundred sixty".