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231450400 = 25521915227
BaseRepresentation
bin11011100101110…
…10011100100000
3121010111220021001
431302322130200
5433222403100
634544441344
75510203336
oct1562723440
9533456231
10231450400
11109714125
1265619254
1338c494cc
1422a4bb56
15154bcd6a
hexdcba720

231450400 has 72 divisors (see below), whose sum is σ = 594805680. Its totient is φ = 87701760.

The previous prime is 231450391. The next prime is 231450431. The reversal of 231450400 is 4054132.

231450400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 16.

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, 7587 + ... + 22813.

It is an arithmetic number, because the mean of its divisors is an integer number (8261190).

Almost surely, 2231450400 is an apocalyptic number.

231450400 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 231450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297402840).

231450400 is an abundant number, since it is smaller than the sum of its proper divisors (363355280).

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

231450400 is a wasteful number, since it uses less digits than its factorization.

231450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15266 (or 15253 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 231450400 is about 15213.4940102529. The cubic root of 231450400 is about 613.9777673057.

The spelling of 231450400 in words is "two hundred thirty-one million, four hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 15227 30454 60908 76135 121816 152270 243632 289313 304540 380675 487264 578626 609080 761350 1157252 1218160 1446565 1522700 2314504 2436320 2893130 3045400 4629008 5786260 6090800 7232825 9258016 11572520 12181600 14465650 23145040 28931300 46290080 57862600 115725200 231450400