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22301231232 = 273725692083
BaseRepresentation
bin10100110001010000…
…011100100010000000
32010120012200221001010
4110301100130202000
5331133103344412
614124532440520
71416434223600
oct246120344200
963505627033
1022301231232
119504511115
1243a4779140
132145391317
141117b94c00
158a7cd233c
hex53141c880

22301231232 has 192 divisors, whose sum is σ = 69063343200. Its totient is φ = 6357528576.

The previous prime is 22301231221. The next prime is 22301231291. The reversal of 22301231232 is 23213210322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22301231199 and 22301231208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10705263 + ... + 10707345.

Almost surely, 222301231232 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 22301231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34531671600).

22301231232 is an abundant number, since it is smaller than the sum of its proper divisors (46762111968).

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

22301231232 is a wasteful number, since it uses less digits than its factorization.

22301231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22301231232 its reverse (23213210322), we get a palindrome (45514441554).

The spelling of 22301231232 in words is "twenty-two billion, three hundred one million, two hundred thirty-one thousand, two hundred thirty-two".