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23221144320 = 2835111015443
BaseRepresentation
bin10101101000000101…
…101000101100000000
32012221022200100120020
4111220011220230000
5340024103104240
614400113413440
71451304320133
oct255005505400
965838610506
1023221144320
119936804470
12460086a280
132260b3a6aa
1411a401621a
1590d9440d0
hex568168b00

23221144320 has 288 divisors, whose sum is σ = 81720624384. Its totient is φ = 5572608000.

The previous prime is 23221144267. The next prime is 23221144351. The reversal of 23221144320 is 2344112232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4263519 + ... + 4268961.

It is an arithmetic number, because the mean of its divisors is an integer number (283752168).

Almost surely, 223221144320 is an apocalyptic number.

23221144320 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 23221144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40860312192).

23221144320 is an abundant number, since it is smaller than the sum of its proper divisors (58499480064).

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

23221144320 is a wasteful number, since it uses less digits than its factorization.

23221144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23221144320 its reverse (2344112232), we get a palindrome (25565256552).

The spelling of 23221144320 in words is "twenty-three billion, two hundred twenty-one million, one hundred forty-four thousand, three hundred twenty".