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232300021200 = 2435213113131779
BaseRepresentation
bin1101100001011000101…
…0010000010111010000
3211012121101110202210220
43120112022100113100
512301222301134300
6254414523353040
722532416413012
oct3302612202720
9735541422726
10232300021200
118a5773401a5
1239030982780
1318ba1065c60
14b359ba21b2
156098e75da0
hex36162905d0

232300021200 has 240 divisors, whose sum is σ = 808473462720. Its totient is φ = 56675082240.

The previous prime is 232300021189. The next prime is 232300021273. The reversal of 232300021200 is 2120003232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232300021200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1696911 + ... + 1828689.

It is an arithmetic number, because the mean of its divisors is an integer number (3368639428).

Almost surely, 2232300021200 is an apocalyptic number.

232300021200 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 232300021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404236731360).

232300021200 is an abundant number, since it is smaller than the sum of its proper divisors (576173441520).

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

232300021200 is a wasteful number, since it uses less digits than its factorization.

232300021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131926 (or 131915 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 232300021200 its reverse (2120003232), we get a palindrome (234420024432).

The spelling of 232300021200 in words is "two hundred thirty-two billion, three hundred million, twenty-one thousand, two hundred".