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23102226432 = 2243417
BaseRepresentation
bin10101100001000000…
…000000000000000000
32012122000220200220000
4111201000000000000
5334303132221212
614340224520000
71445331453555
oct254100000000
965560820800
1023102226432
11988567171a
124588a80000
13224230218c
1411922dca2c
159032a41dc
hex561000000

23102226432 has 250 divisors, whose sum is σ = 73081550718. Its totient is φ = 7247757312.

The previous prime is 23102226431. The next prime is 23102226443. The reversal of 23102226432 is 23462220132.

It is a happy number.

23102226432 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 2 + 226 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21743271936 + 1358954496 = 147456^2 + 36864^2 .

It is a super-2 number, since 2×231022264322 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23102226396 and 23102226405.

It is not an unprimeable number, because it can be changed into a prime (23102226431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1358954488 + ... + 1358954504.

Almost surely, 223102226432 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 23102226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36540775359).

23102226432 is an abundant number, since it is smaller than the sum of its proper divisors (49979324286).

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

23102226432 is an frugal number, since it uses more digits than its factorization.

23102226432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23102226432 its reverse (23462220132), we get a palindrome (46564446564).

The spelling of 23102226432 in words is "twenty-three billion, one hundred two million, two hundred twenty-six thousand, four hundred thirty-two".