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22145231430 = 23257291996091
BaseRepresentation
bin10100100111111101…
…010110101001000110
32010011100011022112200
4110213331112221012
5330323134401210
614101241055330
71412531234640
oct244775265106
963140138480
1022145231430
119434451163
124360487546
13211bc7154a
141101187890
1589926a0c0
hex527f56a46

22145231430 has 192 divisors, whose sum is σ = 68425344000. Its totient is φ = 4861866240.

The previous prime is 22145231419. The next prime is 22145231467. The reversal of 22145231430 is 3413254122.

22145231430 is a `hidden beast` number, since 221 + 4 + 5 + 2 + 3 + 1 + 430 = 666.

It is a super-2 number, since 2×221452314302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22145231394 and 22145231403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3632685 + ... + 3638775.

It is an arithmetic number, because the mean of its divisors is an integer number (356382000).

Almost surely, 222145231430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22145231430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34212672000).

22145231430 is an abundant number, since it is smaller than the sum of its proper divisors (46280112570).

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

22145231430 is a wasteful number, since it uses less digits than its factorization.

22145231430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22145231430 its reverse (3413254122), we get a palindrome (25558485552).

The spelling of 22145231430 in words is "twenty-two billion, one hundred forty-five million, two hundred thirty-one thousand, four hundred thirty".