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220466556060 = 223515723404093
BaseRepresentation
bin1100110101010011010…
…1001010110010011100
3210002001200201110100020
43031110311022302130
512103003414243220
6245140403232140
721633236543442
oct3152465126234
9702050643306
10220466556060
1185554694743
1236889978650
1317a3656c48a
14a956334b92
155b0514e040
hex3354d4ac9c

220466556060 has 48 divisors (see below), whose sum is σ = 621238271136. Its totient is φ = 58416613632.

The previous prime is 220466556049. The next prime is 220466556067. The reversal of 220466556060 is 60655664022.

220466556060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220466556067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11692627 + ... + 11711466.

It is an arithmetic number, because the mean of its divisors is an integer number (12942463982).

Almost surely, 2220466556060 is an apocalyptic number.

220466556060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220466556060 is an abundant number, since it is smaller than the sum of its proper divisors (400771715076).

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

220466556060 is a wasteful number, since it uses less digits than its factorization.

220466556060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23404262 (or 23404260 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 220466556060 in words is "two hundred twenty billion, four hundred sixty-six million, five hundred fifty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 23404093 46808186 70212279 93616372 117020465 140424558 234040930 280849116 351061395 468081860 702122790 1404245580 3674442601 7348885202 11023327803 14697770404 18372213005 22046655606 36744426010 44093311212 55116639015 73488852020 110233278030 220466556060