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230022021000000 = 26356367401521
BaseRepresentation
bin110100010011010000101100…
…110110100010101101000000
31010011102220001010201112010010
4310103100230312202231000
5220122140044334000000
62133114354015104520
766310354053305145
oct6423205466425500
91104386033645103
10230022021000000
1167323878213659
122196b985512140
139b46ca29c3738
1440b31a785a3cc
151b8d602243d50
hexd1342cda2b40

230022021000000 has 784 divisors, whose sum is σ = 766183097730816. Its totient is φ = 60902400000000.

The previous prime is 230022020999959. The next prime is 230022021000029. The reversal of 230022021000000 is 120220032.

It is a super-3 number, since 3×2300220210000003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 230022021000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 441500999740 + ... + 441501000260.

Almost surely, 2230022021000000 is an apocalyptic number.

230022021000000 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 230022021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383091548865408).

230022021000000 is an abundant number, since it is smaller than the sum of its proper divisors (536161076730816).

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

230022021000000 is an frugal number, since it uses more digits than its factorization.

230022021000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 230022021000000 its reverse (120220032), we get a palindrome (230022141220032).

The spelling of 230022021000000 in words is "two hundred thirty trillion, twenty-two billion, twenty-one million", and thus it is an aban number.