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23405222250432 = 26321137139718259
BaseRepresentation
bin1010101001001011100111…
…11101010100011111000000
310001212111222011212221221100
411110211303331110133000
511031432343344003212
6121440113300454400
74633654140412641
oct524456375243700
9101774864787840
1023405222250432
11750410a873160
1227601096aa400
13100a145358689
145acb66b0d6c8
152a8c546cbbdc
hex154973f547c0

23405222250432 has 336 divisors, whose sum is σ = 75704489078400. Its totient is φ = 6851147028480.

The previous prime is 23405222250419. The next prime is 23405222250451.

23405222250432 is a `hidden beast` number, since 2 + 3 + 40 + 522 + 2 + 2 + 50 + 43 + 2 = 666.

23405222250432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32226919 + ... + 32945177.

It is an arithmetic number, because the mean of its divisors is an integer number (225310979400).

Almost surely, 223405222250432 is an apocalyptic number.

23405222250432 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 23405222250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37852244539200).

23405222250432 is an abundant number, since it is smaller than the sum of its proper divisors (52299266827968).

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

23405222250432 is a wasteful number, since it uses less digits than its factorization.

23405222250432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718464 (or 718451 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 2340522 and 2250432, that added together give a palindrome (4590954).

The spelling of 23405222250432 in words is "twenty-three trillion, four hundred five billion, two hundred twenty-two million, two hundred fifty thousand, four hundred thirty-two".