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233233221100 = 225211212030201
BaseRepresentation
bin1101100100110111001…
…0001000010111101100
3211022000102110020102011
43121031302020113230
512310130201033400
6255051301211004
722564510445305
oct3311562102754
9738012406364
10233233221100
118aa06089090
1239251400a64
1318cbc4b4c49
14b407ac17ac
156100d5e8ba
hex364dc885ec

233233221100 has 36 divisors (see below), whose sum is σ = 552126646008. Its totient is φ = 84812080000.

The previous prime is 233233221061. The next prime is 233233221173. The reversal of 233233221100 is 1122332332.

233233221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106014001 + ... + 106016200.

It is an arithmetic number, because the mean of its divisors is an integer number (15336851278).

Almost surely, 2233233221100 is an apocalyptic number.

233233221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233233221100 is an abundant number, since it is smaller than the sum of its proper divisors (318893424908).

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

233233221100 is a wasteful number, since it uses less digits than its factorization.

233233221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212030226 (or 212030219 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233233221100 its reverse (1122332332), we get a palindrome (234355553432).

It can be divided in two parts, 23323 and 3221100, that added together give a palindrome (3244423).

The spelling of 233233221100 in words is "two hundred thirty-three billion, two hundred thirty-three million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 212030201 424060402 848120804 1060151005 2120302010 2332332211 4240604020 4664664422 5300755025 9329328844 10601510050 11661661055 21203020100 23323322110 46646644220 58308305275 116616610550 233233221100