Search a number
-
+
231554309904 = 24342937732281
BaseRepresentation
bin1101011110100110110…
…1100101111100010000
3211010200102021201020000
43113221231211330100
512243210400404104
6254212524250000
722505063105421
oct3275155457420
9733612251200
10231554309904
118a22440a275
1238a630a0900
1318ab2710578
14b2c8b29648
156053774639
hex35e9b65f10

231554309904 has 400 divisors, whose sum is σ = 722103209520. Its totient is φ = 71484456960.

The previous prime is 231554309843. The next prime is 231554309911. The reversal of 231554309904 is 409903455132.

231554309904 is a `hidden beast` number, since 2 + 3 + 1 + 554 + 3 + 0 + 9 + 90 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23574531600 + 207979778304 = 153540^2 + 456048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 231554309904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101513244 + ... + 101515524.

Almost surely, 2231554309904 is an apocalyptic number.

231554309904 is a gapful number since it is divisible by the number (24) 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 231554309904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361051604760).

231554309904 is an abundant number, since it is smaller than the sum of its proper divisors (490548899616).

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

231554309904 is a wasteful number, since it uses less digits than its factorization.

231554309904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 231554309904 in words is "two hundred thirty-one billion, five hundred fifty-four million, three hundred nine thousand, nine hundred four".