Search a number
-
+
231400400 = 24527112683
BaseRepresentation
bin11011100101011…
…10001111010000
3121010102100200012
431302232033100
5433214303100
634543414052
75506604510
oct1562561720
9533370605
10231400400
1110968a600
12655b4328
1338c2c81a
1422a37840
15154ad135
hexdcae3d0

231400400 has 180 divisors, whose sum is σ = 699392736. Its totient is φ = 72019200.

The previous prime is 231400391. The next prime is 231400439. The reversal of 231400400 is 4004132.

It is a super-2 number, since 2×2314004002 = 107092290240320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338459 + ... + 339141.

Almost surely, 2231400400 is an apocalyptic number.

231400400 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 231400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349696368).

231400400 is an abundant number, since it is smaller than the sum of its proper divisors (467992336).

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

231400400 is a wasteful number, since it uses less digits than its factorization.

231400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 231400400 is about 15211.8506434950. The cubic root of 231400400 is about 613.9335517859.

Adding to 231400400 its reverse (4004132), we get a palindrome (235404532).

The spelling of 231400400 in words is "two hundred thirty-one million, four hundred thousand, four hundred".