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22463253120 = 2735711219727
BaseRepresentation
bin10100111010111010…
…100000101010000000
32010222111120111021210
4110322322200222000
5332001043044440
614153001250120
71423442333610
oct247272405200
963874514253
1022463253120
119587a14600
12442aa93940
13216cb0c169
1411314cca40
158b7138a80
hex53aea0a80

22463253120 has 768 divisors, whose sum is σ = 94810060800. Its totient is φ = 4415938560.

The previous prime is 22463253107. The next prime is 22463253157. The reversal of 22463253120 is 2135236422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30898197 + ... + 30898923.

It is an arithmetic number, because the mean of its divisors is an integer number (123450600).

Almost surely, 222463253120 is an apocalyptic number.

22463253120 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 22463253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47405030400).

22463253120 is an abundant number, since it is smaller than the sum of its proper divisors (72346807680).

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

22463253120 is a wasteful number, since it uses less digits than its factorization.

22463253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 22463253120 its reverse (2135236422), we get a palindrome (24598489542).

The spelling of 22463253120 in words is "twenty-two billion, four hundred sixty-three million, two hundred fifty-three thousand, one hundred twenty".