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22323001320 = 23325373374973
BaseRepresentation
bin10100110010100011…
…011111011111101000
32010121201122221222200
4110302203133133220
5331204142020240
614131031220200
71420120244334
oct246243373750
963551587880
1022323001320
119515830324
1243abb17660
132149a44329
14111aa207c4
158a9b82930
hex5328df7e8

22323001320 has 192 divisors, whose sum is σ = 74746685520. Its totient is φ = 5773565952.

The previous prime is 22323001289. The next prime is 22323001321. The reversal of 22323001320 is 2310032322.

It is a happy number.

22323001320 is a `hidden beast` number, since 2 + 232 + 300 + 132 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13648314276 + 8674687044 = 116826^2 + 93138^2 .

It is a super-3 number, since 3×223230013203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22323001293 and 22323001302.

It is not an unprimeable number, because it can be changed into a prime (22323001321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4486354 + ... + 4491326.

Almost surely, 222323001320 is an apocalyptic number.

22323001320 is a gapful number since it is divisible by the number (20) 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 22323001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37373342760).

22323001320 is an abundant number, since it is smaller than the sum of its proper divisors (52423684200).

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

22323001320 is a wasteful number, since it uses less digits than its factorization.

22323001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22323001320 its reverse (2310032322), we get a palindrome (24633033642).

The spelling of 22323001320 in words is "twenty-two billion, three hundred twenty-three million, one thousand, three hundred twenty".