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22412656356420 = 223511471315515441
BaseRepresentation
bin1010001100010010110100…
…11010111010110001000100
32221100121222120001020201010
411012021122122322301010
510414202110011401140
6115400122053002220
74502155342464201
oct506113232726104
987317876036633
1022412656356420
117161177242110
12261b881323370
13c676732b9225
14576ac7b44ca8
1528d01092d880
hex14625a6bac44

22412656356420 has 192 divisors, whose sum is σ = 70450814472192. Its totient is φ = 5277172992000.

The previous prime is 22412656356371. The next prime is 22412656356421. The reversal of 22412656356420 is 2465365621422.

It is a self number, because there is not a number n which added to its sum of digits gives 22412656356420.

It is not an unprimeable number, because it can be changed into a prime (22412656356421) 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, 1305900 + ... + 6821340.

It is an arithmetic number, because the mean of its divisors is an integer number (366931325376).

Almost surely, 222412656356420 is an apocalyptic number.

22412656356420 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 22412656356420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35225407236096).

22412656356420 is an abundant number, since it is smaller than the sum of its proper divisors (48038158115772).

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

22412656356420 is a wasteful number, since it uses less digits than its factorization.

22412656356420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515642 (or 5515640 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 22412656356420 in words is "twenty-two trillion, four hundred twelve billion, six hundred fifty-six million, three hundred fifty-six thousand, four hundred twenty".