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23211131904 = 21034234
BaseRepresentation
bin10101100111011111…
…011100010000000000
32012220121211200010000
4111213133130100000
5340014022210104
614355115040000
71451123236332
oct254737342000
965817750100
1023211131904
119931095a44
1245b9440000
13225ba4329c
1411a296b452
1590cb17639
hex5677dc400

23211131904 has 275 divisors, whose sum is σ = 72463556407. Its totient is φ = 7400650752.

The previous prime is 23211131869. The next prime is 23211131953. The reversal of 23211131904 is 40913111232.

The square root of 23211131904 is 152352.

It is a perfect power (a square), and thus also a powerful number.

23211131904 is a `hidden beast` number, since 232 + 111 + 319 + 0 + 4 = 666.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=276.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 1009179637 + ... + 1009179659.

Almost surely, 223211131904 is an apocalyptic number.

23211131904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23211131904 is the 152352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23211131904

23211131904 is an abundant number, since it is smaller than the sum of its proper divisors (49252424503).

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

23211131904 is an frugal number, since it uses more digits than its factorization.

23211131904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 23211131904 by its product of nonzero digits (1296), we get a square (30081626947584 = 54846722).

23211131904 divided by its product of nonzero digits (1296) gives a square (17909824 = 42322).

It can be divided in two parts, 2321 and 1131904, that added together give a square (1134225 = 10652).

The spelling of 23211131904 in words is "twenty-three billion, two hundred eleven million, one hundred thirty-one thousand, nine hundred four".