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22110690420 = 22335721364279
BaseRepresentation
bin10100100101111001…
…100101110001110100
32010001221011110012000
4110211321211301310
5330240314043140
614054004455300
71411631524200
oct244571456164
963057143160
1022110690420
1194169a9a75
1243509aa530
132114a69690
1410da755b00
158961e5a30
hex525e65c74

22110690420 has 288 divisors, whose sum is σ = 86176339200. Its totient is φ = 4665040128.

The previous prime is 22110690389. The next prime is 22110690457. The reversal of 22110690420 is 2409601122.

22110690420 is a `hidden beast` number, since 221 + 10 + 6 + 9 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311841 + ... + 376119.

It is an arithmetic number, because the mean of its divisors is an integer number (299223400).

Almost surely, 222110690420 is an apocalyptic number.

22110690420 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 22110690420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43088169600).

22110690420 is an abundant number, since it is smaller than the sum of its proper divisors (64065648780).

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

22110690420 is a wasteful number, since it uses less digits than its factorization.

22110690420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64324 (or 64309 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 22110690420 in words is "twenty-two billion, one hundred ten million, six hundred ninety thousand, four hundred twenty".