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228975284160 = 263657140221
BaseRepresentation
bin1101010100111111111…
…1011000111111000000
3210220000200101122000000
43111033333120333000
512222420133043120
6253104555000000
722354135542060
oct3251777307700
9726020348000
10228975284160
1189120640037
1238463439000
131879130232c
14b1223c73a0
155e52138990
hex354ffd8fc0

228975284160 has 392 divisors, whose sum is σ = 934289090016. Its totient is φ = 52336834560.

The previous prime is 228975284099. The next prime is 228975284177. The reversal of 228975284160 is 61482579822.

228975284160 is a `hidden beast` number, since 2 + 28 + 97 + 528 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 228975284097 and 228975284106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1562850 + ... + 1703070.

Almost surely, 2228975284160 is an apocalyptic number.

228975284160 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 228975284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467144545008).

228975284160 is an abundant number, since it is smaller than the sum of its proper divisors (705313805856).

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

228975284160 is an equidigital number, since it uses as much as digits as its factorization.

228975284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140263 (or 140238 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 228975284160 in words is "two hundred twenty-eight billion, nine hundred seventy-five million, two hundred eighty-four thousand, one hundred sixty".