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220363490161920 = 2835799114475717
BaseRepresentation
bin110010000110101101011111…
…100011010111010100000000
31001220020112200111221222210210
4302012231133203113110000
5212340413411440140140
62100401331223154120
764262510466623010
oct6206553743272400
91056215614858723
10220363490161920
116423a6a4371a86
122086bb06ba5940
1395c6259c32061
143c5b9151d3c40
151a7226044dd80
hexc86b5f8d7500

220363490161920 has 576 divisors, whose sum is σ = 805835719213056. Its totient is φ = 50274402140160.

The previous prime is 220363490161909. The next prime is 220363490161973. The reversal of 220363490161920 is 29161094363022.

It is a super-2 number, since 2×2203634901619202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 220363490161920.

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 63 ways as a sum of consecutive naturals, for example, 38545298902 + ... + 38545304618.

It is an arithmetic number, because the mean of its divisors is an integer number (1399020345856).

Almost surely, 2220363490161920 is an apocalyptic number.

220363490161920 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 220363490161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402917859606528).

220363490161920 is an abundant number, since it is smaller than the sum of its proper divisors (585472229051136).

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

220363490161920 is a wasteful number, since it uses less digits than its factorization.

220363490161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 220363490161920 in words is "two hundred twenty trillion, three hundred sixty-three billion, four hundred ninety million, one hundred sixty-one thousand, nine hundred twenty".