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22131104424 = 233111317253421
BaseRepresentation
bin10100100111000111…
…011101101010101000
32010010100120120221020
4110213013131222220
5330311030320144
614100014212440
71412300166222
oct244707355250
963110516836
1022131104424
119427482350
1243577b4120
132119066380
1410dd34b412
15897dc9419
hex5271ddaa8

22131104424 has 384 divisors, whose sum is σ = 70518833280. Its totient is φ = 5702860800.

The previous prime is 22131104419. The next prime is 22131104447. The reversal of 22131104424 is 42440113122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22131104394 and 22131104403.

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, 52567734 + ... + 52568154.

It is an arithmetic number, because the mean of its divisors is an integer number (183642795).

Almost surely, 222131104424 is an apocalyptic number.

22131104424 is a gapful number since it is divisible by the number (24) 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 22131104424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35259416640).

22131104424 is an abundant number, since it is smaller than the sum of its proper divisors (48387728856).

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

22131104424 is a wasteful number, since it uses less digits than its factorization.

22131104424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22131104424 its reverse (42440113122), we get a palindrome (64571217546).

The spelling of 22131104424 in words is "twenty-two billion, one hundred thirty-one million, one hundred four thousand, four hundred twenty-four".