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23226981120 = 283357671433
BaseRepresentation
bin10101101000011011…
…111001101100000000
32012221201122220011000
4111220123321230000
5340032101343440
614400442452000
71451405040060
oct255033715400
965851586130
1023226981120
11993a030772
124602804000
132262102315
1411a4ad53a0
1590e1e8730
hex5686f9b00

23226981120 has 576 divisors, whose sum is σ = 95670973440. Its totient is φ = 5226135552.

The previous prime is 23226981097. The next prime is 23226981137. The reversal of 23226981120 is 2118962232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16207924 + ... + 16209356.

It is an arithmetic number, because the mean of its divisors is an integer number (166095440).

Almost surely, 223226981120 is an apocalyptic number.

23226981120 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 23226981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47835486720).

23226981120 is an abundant number, since it is smaller than the sum of its proper divisors (72443992320).

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

23226981120 is a wasteful number, since it uses less digits than its factorization.

23226981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 23226981120 in words is "twenty-three billion, two hundred twenty-six million, nine hundred eighty-one thousand, one hundred twenty".