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231053200 = 24527179461
BaseRepresentation
bin11011100010110…
…01011110010000
3121002202201101221
431301121132100
5433122200300
634532134424
75503630330
oct1561313620
9532681357
10231053200
11109472764
1265467414
1338b3a791
14229870c0
151544031a
hexdc59790

231053200 has 120 divisors (see below), whose sum is σ = 639334080. Its totient is φ = 78604800.

The previous prime is 231053189. The next prime is 231053201. The reversal of 231053200 is 2350132.

231053200 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 (16).

It is not an unprimeable number, because it can be changed into a prime (231053201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500970 + ... + 501430.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2231053200 is an apocalyptic number.

231053200 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 231053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319667040).

231053200 is an abundant number, since it is smaller than the sum of its proper divisors (408280880).

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

231053200 is a wasteful number, since it uses less digits than its factorization.

231053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 231053200 is about 15200.4342043246. The cubic root of 231053200 is about 613.6263434037.

The spelling of 231053200 in words is "two hundred thirty-one million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 179 200 280 350 358 400 461 560 700 716 895 922 1253 1400 1432 1790 1844 2305 2506 2800 2864 3227 3580 3688 4475 4610 5012 6265 6454 7160 7376 8950 9220 10024 11525 12530 12908 14320 16135 17900 18440 20048 23050 25060 25816 31325 32270 35800 36880 46100 50120 51632 62650 64540 71600 80675 82519 92200 100240 125300 129080 161350 165038 184400 250600 258160 322700 330076 412595 501200 577633 645400 660152 825190 1155266 1290800 1320304 1650380 2062975 2310532 2888165 3300760 4125950 4621064 5776330 6601520 8251900 9242128 11552660 14440825 16503800 23105320 28881650 33007600 46210640 57763300 115526600 231053200