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231150400 = 26521311113
BaseRepresentation
bin11011100011100…
…01001101000000
3121002221122201221
431301301031000
5433133303100
634534204424
75504513605
oct1561611500
9532848657
10231150400
11109529798
12654b3714
1338b72ab0
14229b06ac
151545e01a
hexdc71340

231150400 has 84 divisors (see below), whose sum is σ = 612581452. Its totient is φ = 85340160.

The previous prime is 231150379. The next prime is 231150419. The reversal of 231150400 is 4051132.

It can be written as a sum of positive squares in 6 ways, for example, as 95101504 + 136048896 = 9752^2 + 11664^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15244 + ... + 26356.

Almost surely, 2231150400 is an apocalyptic number.

231150400 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 231150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306290726).

231150400 is an abundant number, since it is smaller than the sum of its proper divisors (381431052).

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

231150400 is a wasteful number, since it uses less digits than its factorization.

231150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148 (or 11133 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 231150400 is about 15203.6311452232. The cubic root of 231150400 is about 613.7123785950.

The spelling of 231150400 in words is "two hundred thirty-one million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 11113 20800 22226 44452 55565 88904 111130 144469 177808 222260 277825 288938 355616 444520 555650 577876 711232 722345 889040 1111300 1155752 1444690 1778080 2222600 2311504 2889380 3556160 3611725 4445200 4623008 5778760 7223450 8890400 9246016 11557520 14446900 17780800 23115040 28893800 46230080 57787600 115575200 231150400