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22010212320 = 25351131792267
BaseRepresentation
bin10100011111111010…
…010010111111100000
32002210221002122010220
4110133322102333200
5330034103243240
614040015123040
71406301501135
oct243772227740
962727078126
1022010212320
119375211318
124323213480
1320c9cb9395
1410cb27c58c
1588c4995d0
hex51fe92fe0

22010212320 has 192 divisors, whose sum is σ = 70367512320. Its totient is φ = 5782396928.

The previous prime is 22010212309. The next prime is 22010212321. The reversal of 22010212320 is 2321201022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22010212320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010212321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9707827 + ... + 9710093.

It is an arithmetic number, because the mean of its divisors is an integer number (366497460).

Almost surely, 222010212320 is an apocalyptic number.

22010212320 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 22010212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35183756160).

22010212320 is an abundant number, since it is smaller than the sum of its proper divisors (48357300000).

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

22010212320 is a wasteful number, since it uses less digits than its factorization.

22010212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22010212320 its reverse (2321201022), we get a palindrome (24331413342).

The spelling of 22010212320 in words is "twenty-two billion, ten million, two hundred twelve thousand, three hundred twenty".