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228308960880 = 2433571113234591
BaseRepresentation
bin1101010010100001000…
…1100100011001110000
3210211022020120220022000
43110220101210121300
512220034043222010
6252514513214000
722331465101440
oct3245021443160
9724266526260
10228308960880
1188909502540
12382b8261300
13186b62545c0
14b09bad8120
155e138b97c0
hex3528464670

228308960880 has 1280 divisors, whose sum is σ = 1102009466880. Its totient is φ = 41878425600.

The previous prime is 228308960849. The next prime is 228308960897. The reversal of 228308960880 is 88069803822.

228308960880 is a `hidden beast` number, since 2 + 28 + 3 + 0 + 8 + 9 + 608 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49727385 + ... + 49731975.

It is an arithmetic number, because the mean of its divisors is an integer number (860944896).

Almost surely, 2228308960880 is an apocalyptic number.

228308960880 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 228308960880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551004733440).

228308960880 is an abundant number, since it is smaller than the sum of its proper divisors (873700506000).

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

228308960880 is a wasteful number, since it uses less digits than its factorization.

228308960880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 228308960880 in words is "two hundred twenty-eight billion, three hundred eight million, nine hundred sixty thousand, eight hundred eighty".