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230232122022000 = 24353730881177511
BaseRepresentation
bin110100010110010100010111…
…110110010101100001110000
31010012011222100102212021212110
4310112110113312111201300
5220134110341214201000
62133355102101125320
766331502416443660
oct6426242766254160
91105158312767773
10230232122022000
11673a499281911a
12219a463b9b9840
139b60a46910ab7
1440bd41927a1a0
151b93cec37d850
hexd16517d95870

230232122022000 has 320 divisors, whose sum is σ = 848338947975168. Its totient is φ = 52622484480000.

The previous prime is 230232122021933. The next prime is 230232122022047. The reversal of 230232122022000 is 220221232032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1296913245 + ... + 1297090755.

Almost surely, 2230232122022000 is an apocalyptic number.

230232122022000 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 230232122022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424169473987584).

230232122022000 is an abundant number, since it is smaller than the sum of its proper divisors (618106825953168).

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

230232122022000 is a wasteful number, since it uses less digits than its factorization.

230232122022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208425 (or 208409 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 230232122022000 its reverse (220221232032), we get a palindrome (230452343254032).

The spelling of 230232122022000 in words is "two hundred thirty trillion, two hundred thirty-two billion, one hundred twenty-two million, twenty-two thousand".