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22218044940 = 2232571317731093
BaseRepresentation
bin10100101100010011…
…000111011000001100
32010100102011121220100
4110230103013120030
5331000304414230
614112401451100
71414404160140
oct245423073014
963312147810
1022218044940
119471564013
124380940a90
132131086870
14110aadd220
158a084e660
hex52c4c760c

22218044940 has 576 divisors, whose sum is σ = 89111183616. Its totient is φ = 4347592704.

The previous prime is 22218044911. The next prime is 22218044951. The reversal of 22218044940 is 4944081222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22218044895 and 22218044904.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20327034 + ... + 20328126.

It is an arithmetic number, because the mean of its divisors is an integer number (154706916).

Almost surely, 222218044940 is an apocalyptic number.

22218044940 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 22218044940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44555591808).

22218044940 is an abundant number, since it is smaller than the sum of its proper divisors (66893138676).

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

22218044940 is a wasteful number, since it uses less digits than its factorization.

22218044940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22218044940 in words is "twenty-two billion, two hundred eighteen million, forty-four thousand, nine hundred forty".