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220838740480 = 29586265133
BaseRepresentation
bin1100110110101100000…
…0111100001000000000
3210010000122001101101101
43031223000330020000
512104234204143410
6245241340344144
721645406215301
oct3155300741000
9703018041341
10220838740480
1185725791376
1236972545054
1317a956c2147
14a98d9387a8
155b27b6ad3a
hex336b03c200

220838740480 has 40 divisors (see below), whose sum is σ = 529495392492. Its totient is φ = 88335495168.

The previous prime is 220838740477. The next prime is 220838740513. The reversal of 220838740480 is 84047838022.

It can be written as a sum of positive squares in 2 ways, for example, as 220028541184 + 810199296 = 469072^2 + 28464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 220838740480.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43130007 + ... + 43135126.

Almost surely, 2220838740480 is an apocalyptic number.

220838740480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220838740480 is an abundant number, since it is smaller than the sum of its proper divisors (308656652012).

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

220838740480 is an frugal number, since it uses more digits than its factorization.

220838740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86265156 (or 86265140 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 220838740480 in words is "two hundred twenty billion, eight hundred thirty-eight million, seven hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 86265133 172530266 345060532 431325665 690121064 862651330 1380242128 1725302660 2760484256 3450605320 5520968512 6901210640 11041937024 13802421280 22083874048 27604842560 44167748096 55209685120 110419370240 220838740480