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23215204000 = 25539759833
BaseRepresentation
bin10101100111101110…
…111110011010100000
32012220220111112222101
4111213232332122200
5340021043012000
614355342220144
71451202656332
oct254756763240
965826445871
1023215204000
11993341740a
1245ba884654
13225c83a901
1411a330b452
1590d16de6a
hex567bbe6a0

23215204000 has 96 divisors (see below), whose sum is σ = 57628758096. Its totient is φ = 9190195200.

The previous prime is 23215203997. The next prime is 23215204003. The reversal of 23215204000 is 40251232.

It is an interprime number because it is at equal distance from previous prime (23215203997) and next prime (23215204003).

It can be written as a sum of positive squares in 8 ways, for example, as 4075034896 + 19140169104 = 63836^2 + 138348^2 .

It is not an unprimeable number, because it can be changed into a prime (23215204003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358084 + ... + 417916.

Almost surely, 223215204000 is an apocalyptic number.

23215204000 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 23215204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28814379048).

23215204000 is an abundant number, since it is smaller than the sum of its proper divisors (34413554096).

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

23215204000 is an equidigital number, since it uses as much as digits as its factorization.

23215204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59955 (or 59937 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 23215204000 its reverse (40251232), we get a palindrome (23255455232).

The spelling of 23215204000 in words is "twenty-three billion, two hundred fifteen million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 776 800 970 1000 1552 1940 2000 2425 3104 3880 4000 4850 7760 9700 12125 15520 19400 24250 38800 48500 59833 77600 97000 119666 194000 239332 299165 388000 478664 598330 957328 1196660 1495825 1914656 2393320 2991650 4786640 5803801 5983300 7479125 9573280 11607602 11966600 14958250 23215204 23933200 29019005 29916500 46430408 47866400 58038010 59833000 92860816 116076020 119666000 145095025 185721632 232152040 239332000 290190050 464304080 580380100 725475125 928608160 1160760200 1450950250 2321520400 2901900500 4643040800 5803801000 11607602000 23215204000