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231154400 = 25522831021
BaseRepresentation
bin11011100011100…
…10001011100000
3121002221212020002
431301302023200
5433133420100
634534235132
75504531351
oct1561621340
9532855202
10231154400
111095317a4
12654b5aa8
1338b74869
14229b1d28
15154602d5
hexdc722e0

231154400 has 72 divisors (see below), whose sum is σ = 566854344. Its totient is φ = 92044800.

The previous prime is 231154387. The next prime is 231154459. The reversal of 231154400 is 4451132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225890 + ... + 226910.

It is an arithmetic number, because the mean of its divisors is an integer number (7872977).

Almost surely, 2231154400 is an apocalyptic number.

231154400 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 231154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283427172).

231154400 is an abundant number, since it is smaller than the sum of its proper divisors (335699944).

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

231154400 is a wasteful number, since it uses less digits than its factorization.

231154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 231154400 is about 15203.7626921759. The cubic root of 231154400 is about 613.7159186211.

The spelling of 231154400 in words is "two hundred thirty-one million, one hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 283 400 566 800 1021 1132 1415 2042 2264 2830 4084 4528 5105 5660 7075 8168 9056 10210 11320 14150 16336 20420 22640 25525 28300 32672 40840 45280 51050 56600 81680 102100 113200 163360 204200 226400 288943 408400 577886 816800 1155772 1444715 2311544 2889430 4623088 5778860 7223575 9246176 11557720 14447150 23115440 28894300 46230880 57788600 115577200 231154400