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220988991960 = 233551131611093
BaseRepresentation
bin1100110111001111111…
…0000110100111011000
3210010102002202221200000
43031303332012213120
512110041140220320
6245304305013000
721652212303252
oct3156376064730
9703362687600
10220988991960
11857a2585550
12369b4924160
1317aba87b649
14a9a588acd2
155b35e49c90
hex3373f869d8

220988991960 has 768 divisors, whose sum is σ = 853265387520. Its totient is φ = 50948352000.

The previous prime is 220988991911. The next prime is 220988991961. The reversal of 220988991960 is 69199889022.

It is a super-2 number, since 2×2209889919602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220988991961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202185174 + ... + 202186266.

It is an arithmetic number, because the mean of its divisors is an integer number (1111022640).

Almost surely, 2220988991960 is an apocalyptic number.

220988991960 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 220988991960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426632693760).

220988991960 is an abundant number, since it is smaller than the sum of its proper divisors (632276395560).

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

220988991960 is a wasteful number, since it uses less digits than its factorization.

220988991960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 220988991960 in words is "two hundred twenty billion, nine hundred eighty-eight million, nine hundred ninety-one thousand, nine hundred sixty".