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22468223232 = 28397313
BaseRepresentation
bin10100111011001101…
…011110000100000000
32010222211221000000000
4110323031132010000
5332003331120412
614153300000000
71423532514000
oct247315360400
963884830000
1022468223232
11958a7a9734
124430690000
132170b5c460
141132024000
158b77bb4dc
hex53b35e100

22468223232 has 720 divisors, whose sum is σ = 84485878400. Its totient is φ = 5925685248.

The previous prime is 22468223221. The next prime is 22468223243. The reversal of 22468223232 is 23232286422.

It is an interprime number because it is at equal distance from previous prime (22468223221) and next prime (22468223243).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1728324858 + ... + 1728324870.

Almost surely, 222468223232 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 22468223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42242939200).

22468223232 is an abundant number, since it is smaller than the sum of its proper divisors (62017655168).

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

22468223232 is an frugal number, since it uses more digits than its factorization.

22468223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 25 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 22468223232 in words is "twenty-two billion, four hundred sixty-eight million, two hundred twenty-three thousand, two hundred thirty-two".