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22260014040 = 233511475992
BaseRepresentation
bin10100101110110011…
…001101101111011000
32010110100010212200110
4110232303031233120
5331042030422130
614120501204320
71415423666055
oct245663155730
963410125613
1022260014040
11949321a020
124392a006a0
13213998c754
14111250602c
158a438eab0
hex52eccdbd8

22260014040 has 192 divisors, whose sum is σ = 74525391360. Its totient is φ = 5272733440.

The previous prime is 22260013987. The next prime is 22260014071. The reversal of 22260014040 is 4041006222.

It is a junction number, because it is equal to n+sod(n) for n = 22260013998 and 22260014016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37161661 + ... + 37162259.

It is an arithmetic number, because the mean of its divisors is an integer number (388153080).

Almost surely, 222260014040 is an apocalyptic number.

22260014040 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 22260014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37262695680).

22260014040 is an abundant number, since it is smaller than the sum of its proper divisors (52265377320).

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

22260014040 is a wasteful number, since it uses less digits than its factorization.

22260014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 22260014040 in words is "twenty-two billion, two hundred sixty million, fourteen thousand, forty".