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23210404240 = 2451609180317
BaseRepresentation
bin10101100111011100…
…101010100110010000
32012220120110200221111
4111213130222212100
5340013330413430
614355051303104
71451114116012
oct254734524620
965816420844
1023210404240
119930739271
1245b914aa94
13225b84a00a
1411a281c1b2
1590ca21c2a
hex56772a990

23210404240 has 40 divisors (see below), whose sum is σ = 53998028280. Its totient is φ = 9278340096.

The previous prime is 23210404201. The next prime is 23210404307. The reversal of 23210404240 is 4240401232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2809424016 + 20400980224 = 53004^2 + 142832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 38562 + ... + 218878.

It is an arithmetic number, because the mean of its divisors is an integer number (1349950707).

Almost surely, 223210404240 is an apocalyptic number.

23210404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23210404240 is an abundant number, since it is smaller than the sum of its proper divisors (30787624040).

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

23210404240 is a wasteful number, since it uses less digits than its factorization.

23210404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181939 (or 181933 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 23210404240 its reverse (4240401232), we get a palindrome (27450805472).

The spelling of 23210404240 in words is "twenty-three billion, two hundred ten million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1609 3218 6436 8045 12872 16090 25744 32180 64360 128720 180317 360634 721268 901585 1442536 1803170 2885072 3606340 7212680 14425360 290130053 580260106 1160520212 1450650265 2321040424 2901300530 4642080848 5802601060 11605202120 23210404240