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23422022022432 = 253112329191174101
BaseRepresentation
bin1010101001101010111010…
…10011010111010100100000
310001221010022222121210200010
411110311131103113110200
511032221300114204212
6121451532310124520
74635120353210025
oct524653523272440
9101833288553603
1023422022022432
117510250903550
122763417950740
13100b8c1a14a77
145ad8bbd8b54c
152a93d950203c
hex154d5d4d7520

23422022022432 has 384 divisors, whose sum is σ = 72781210091520. Its totient is φ = 6520532480000.

The previous prime is 23422022022391. The next prime is 23422022022463.

It is a happy number.

23422022022432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234220220224322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23422022022432.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134444182 + ... + 134618282.

It is an arithmetic number, because the mean of its divisors is an integer number (189534401280).

Almost surely, 223422022022432 is an apocalyptic number.

23422022022432 is a gapful number since it is divisible by the number (22) 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 23422022022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36390605045760).

23422022022432 is an abundant number, since it is smaller than the sum of its proper divisors (49359188069088).

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

23422022022432 is a wasteful number, since it uses less digits than its factorization.

23422022022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174368 (or 174360 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2342202 and 2022432, that added together give a palindrome (4364634).

The spelling of 23422022022432 in words is "twenty-three trillion, four hundred twenty-two billion, twenty-two million, twenty-two thousand, four hundred thirty-two".