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230122631200 = 255271110934273
BaseRepresentation
bin1101011001010001100…
…0001011000000100000
3210222222122022220020211
43112110120023000200
512232242343144300
6253414502343504
722424440043140
oct3262430130040
9728878286224
10230122631200
118965a253930
123872372ab94
1318914c1c9c7
14b1d092c920
155ebcc234ba
hex359460b020

230122631200 has 288 divisors, whose sum is σ = 706856008320. Its totient is φ = 71066419200.

The previous prime is 230122631197. The next prime is 230122631237. The reversal of 230122631200 is 2136221032.

It is a super-2 number, since 2×2301226312002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6697264 + ... + 6731536.

It is an arithmetic number, because the mean of its divisors is an integer number (2454361140).

Almost surely, 2230122631200 is an apocalyptic number.

230122631200 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 230122631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353428004160).

230122631200 is an abundant number, since it is smaller than the sum of its proper divisors (476733377120).

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

230122631200 is a wasteful number, since it uses less digits than its factorization.

230122631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34420 (or 34407 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 230122631200 its reverse (2136221032), we get a palindrome (232258852232).

The spelling of 230122631200 in words is "two hundred thirty billion, one hundred twenty-two million, six hundred thirty-one thousand, two hundred".