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220012111088 = 24711597189479
BaseRepresentation
bin1100110011100110111…
…1100110010011110000
3210000220000121021000222
43030321233212103300
512101041100023323
6245023331032212
721616051042130
oct3147157462360
9700800537028
10220012111088
1185341112490
123678173b668
1317993377523
14a911c3aac0
155aca2d39c8
hex3339be64f0

220012111088 has 320 divisors, whose sum is σ = 555393024000. Its totient is φ = 81974323200.

The previous prime is 220012111087. The next prime is 220012111153. The reversal of 220012111088 is 880111210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012111087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459315233 + ... + 459315711.

It is an arithmetic number, because the mean of its divisors is an integer number (1735603200).

Almost surely, 2220012111088 is an apocalyptic number.

220012111088 is a gapful number since it is divisible by the number (28) 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 220012111088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277696512000).

220012111088 is an abundant number, since it is smaller than the sum of its proper divisors (335380912912).

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

220012111088 is a wasteful number, since it uses less digits than its factorization.

220012111088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The spelling of 220012111088 in words is "two hundred twenty billion, twelve million, one hundred eleven thousand, eighty-eight".