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231201400 = 23527914633
BaseRepresentation
bin11011100011111…
…01101001111000
3121010001020200211
431301331221320
5433141421100
634535240504
75505115363
oct1561755170
9533036624
10231201400
11109564041
1265519134
1338b90081
14229c50da
151546e1ba
hexdc7da78

231201400 has 48 divisors (see below), whose sum is σ = 544384800. Its totient is φ = 91303680.

The previous prime is 231201391. The next prime is 231201403. The reversal of 231201400 is 4102132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8484 + ... + 23116.

It is an arithmetic number, because the mean of its divisors is an integer number (11341350).

Almost surely, 2231201400 is an apocalyptic number.

231201400 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 231201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272192400).

231201400 is an abundant number, since it is smaller than the sum of its proper divisors (313183400).

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

231201400 is a wasteful number, since it uses less digits than its factorization.

231201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14728 (or 14719 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 231201400 is about 15205.3082836225. The cubic root of 231201400 is about 613.7575108691.

Adding to 231201400 its reverse (4102132), we get a palindrome (235303532).

The spelling of 231201400 in words is "two hundred thirty-one million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3950 7900 14633 15800 29266 58532 73165 117064 146330 292660 365825 585320 731650 1156007 1463300 2312014 2926600 4624028 5780035 9248056 11560070 23120140 28900175 46240280 57800350 115600700 231201400