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23422122432 = 26333729901
BaseRepresentation
bin10101110100000100…
…010011100111000000
32020110022212002201000
4111310010103213000
5340432030404212
614432053212000
71456264520142
oct256404234700
966408762630
1023422122432
119a2a1a5285
124658031000
132293677c57
1411c29b0c92
159213e31dc
hex5741139c0

23422122432 has 168 divisors, whose sum is σ = 70775139120. Its totient is φ = 7595596800.

The previous prime is 23422122431. The next prime is 23422122511.

23422122432 is a `hidden beast` number, since 2 + 3 + 4 + 221 + 2 + 2 + 432 = 666.

23422122432 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23422122396 and 23422122405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23422122431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2360682 + ... + 2370582.

It is an arithmetic number, because the mean of its divisors is an integer number (421280590).

Almost surely, 223422122432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23422122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35387569560).

23422122432 is an abundant number, since it is smaller than the sum of its proper divisors (47353016688).

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

23422122432 is an equidigital number, since it uses as much as digits as its factorization.

23422122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996 (or 9943 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The spelling of 23422122432 in words is "twenty-three billion, four hundred twenty-two million, one hundred twenty-two thousand, four hundred thirty-two".