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22531404420 = 22335722929363
BaseRepresentation
bin10100111110111110…
…011111001010000100
32011011020210221022000
4110332332133022010
5332121014420140
614203434105300
71425230530500
oct247676371204
964136727260
1022531404420
119612432698
12444987b230
132180c81385
14113a58d300
158bd0eba30
hex53ef9f284

22531404420 has 288 divisors, whose sum is σ = 84356899200. Its totient is φ = 4972278528.

The previous prime is 22531404419. The next prime is 22531404433. The reversal of 22531404420 is 2440413522.

22531404420 is a `hidden beast` number, since 2 + 253 + 1 + 404 + 4 + 2 + 0 = 666.

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

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, 752659 + ... + 782021.

It is an arithmetic number, because the mean of its divisors is an integer number (292905900).

Almost surely, 222531404420 is an apocalyptic number.

22531404420 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 22531404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42178449600).

22531404420 is an abundant number, since it is smaller than the sum of its proper divisors (61825494780).

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

22531404420 is a wasteful number, since it uses less digits than its factorization.

22531404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29424 (or 29409 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22531404420 its reverse (2440413522), we get a palindrome (24971817942).

The spelling of 22531404420 in words is "twenty-two billion, five hundred thirty-one million, four hundred four thousand, four hundred twenty".