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235132044200 = 235240112132417
BaseRepresentation
bin1101101011111011110…
…1100100001110101000
3211110220202102110000122
43122332331210032220
512323022300403300
6300003531422412
722662535253564
oct3327675441650
9743822373018
10235132044200
119079a9aaa79
12396a12b4a08
13192329c5c01
14b547d606a4
1561b28d8c85
hex36bef643a8

235132044200 has 96 divisors (see below), whose sum is σ = 548724042360. Its totient is φ = 93702144000.

The previous prime is 235132044163. The next prime is 235132044227. The reversal of 235132044200 is 2440231532.

235132044200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 78000669796 + 157131374404 = 279286^2 + 396398^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 235132044200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97281392 + ... + 97283808.

Almost surely, 2235132044200 is an apocalyptic number.

235132044200 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 235132044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274362021180).

235132044200 is an abundant number, since it is smaller than the sum of its proper divisors (313591998160).

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

235132044200 is a wasteful number, since it uses less digits than its factorization.

235132044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 235132044200 its reverse (2440231532), we get a palindrome (237572275732).

The spelling of 235132044200 in words is "two hundred thirty-five billion, one hundred thirty-two million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 401 802 1213 1604 2005 2417 2426 3208 4010 4834 4852 6065 8020 9668 9704 10025 12085 12130 16040 19336 20050 24170 24260 30325 40100 48340 48520 60425 60650 80200 96680 120850 121300 241700 242600 483400 486413 969217 972826 1938434 1945652 2432065 2931821 3876868 3891304 4846085 4864130 5863642 7753736 9692170 9728260 11727284 12160325 14659105 19384340 19456520 23454568 24230425 24320650 29318210 38768680 48460850 48641300 58636420 73295525 96921700 97282600 117272840 146591050 193843400 293182100 586364200 1175660221 2351320442 4702640884 5878301105 9405281768 11756602210 23513204420 29391505525 47026408840 58783011050 117566022100 235132044200