Search a number
-
+
231820898400 = 25345271339313
BaseRepresentation
bin1101011111100110011…
…0100011000001100000
3211011100222220210220000
43113321212203001200
512244232122222100
6254255210220000
722514511060360
oct3277146430140
9734328823800
10231820898400
118a350943143
1238b18424600
1318b25a10640
14b3122c29a0
15606bd83900
hex35f99a3060

231820898400 has 720 divisors, whose sum is σ = 1040525839584. Its totient is φ = 48910417920.

The previous prime is 231820898399. The next prime is 231820898411. The reversal of 231820898400 is 4898028132.

231820898400 is a `hidden beast` number, since 2 + 31 + 8 + 208 + 9 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5877144 + ... + 5916456.

Almost surely, 2231820898400 is an apocalyptic number.

231820898400 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 231820898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520262919792).

231820898400 is an abundant number, since it is smaller than the sum of its proper divisors (808704941184).

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

231820898400 is a wasteful number, since it uses less digits than its factorization.

231820898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39365 (or 39343 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 231820898400 in words is "two hundred thirty-one billion, eight hundred twenty million, eight hundred ninety-eight thousand, four hundred".