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23082209280 = 21233513319
BaseRepresentation
bin10101011111110011…
…101001000000000000
32012120122020201112000
4111133303221000000
5334233021144110
614334231504000
71444666353534
oct253763510000
965518221460
1023082209280
11987533a519
124582228000
13223b114000
14118d7abbc4
1590164d1c0
hex55fce9000

23082209280 has 832 divisors, whose sum is σ = 93573984000. Its totient is φ = 5382733824.

The previous prime is 23082209197. The next prime is 23082209287. The reversal of 23082209280 is 8290228032.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23082209287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1214853111 + ... + 1214853129.

Almost surely, 223082209280 is an apocalyptic number.

23082209280 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 23082209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46786992000).

23082209280 is an abundant number, since it is smaller than the sum of its proper divisors (70491774720).

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

23082209280 is an equidigital number, since it uses as much as digits as its factorization.

23082209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23082209280 in words is "twenty-three billion, eighty-two million, two hundred nine thousand, two hundred eighty".