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23244202100 = 2252758756569
BaseRepresentation
bin10101101001011101…
…100110000001110100
32012222221001210220002
4111221131212001310
5340101003431400
614402255530432
71452004313030
oct255135460164
965887053802
1023244202100
119948823089
124608529a18
132265851852
1411a70d91c0
1591099aed5
hex569766074

23244202100 has 72 divisors (see below), whose sum is σ = 57744845760. Its totient is φ = 7955723520.

The previous prime is 23244202087. The next prime is 23244202141. The reversal of 23244202100 is 120244232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382616 + ... + 439184.

Almost surely, 223244202100 is an apocalyptic number.

23244202100 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 23244202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28872422880).

23244202100 is an abundant number, since it is smaller than the sum of its proper divisors (34500643660).

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

23244202100 is a wasteful number, since it uses less digits than its factorization.

23244202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57177 (or 57170 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23244202100 its reverse (120244232), we get a palindrome (23364446332).

The spelling of 23244202100 in words is "twenty-three billion, two hundred forty-four million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 587 700 1174 2348 2935 4109 5870 8218 11740 14675 16436 20545 29350 41090 56569 58700 82180 102725 113138 205450 226276 282845 395983 410900 565690 791966 1131380 1414225 1583932 1979915 2828450 3959830 5656900 7919660 9899575 19799150 33206003 39598300 66412006 132824012 166030015 232442021 332060030 464884042 664120060 830150075 929768084 1162210105 1660300150 2324420210 3320600300 4648840420 5811050525 11622101050 23244202100