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231424100 = 22522314241
BaseRepresentation
bin11011100101101…
…00000001100100
3121010110120011222
431302310001210
5433221032400
634544115512
75510033555
oct1562640144
9533416158
10231424100
111096a6396
1265605b98
1338c3a54b
1422a4232c
15154b5185
hexdcb4064

231424100 has 18 divisors (see below), whose sum is σ = 502190514. Its totient is φ = 92569600.

The previous prime is 231424087. The next prime is 231424103. The reversal of 231424100 is 1424132.

It can be written as a sum of positive squares in 3 ways, for example, as 3474496 + 227949604 = 1864^2 + 15098^2 .

It is a super-2 number, since 2×2314241002 = 107114228121620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231424103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1157021 + ... + 1157220.

It is an arithmetic number, because the mean of its divisors is an integer number (27899473).

Almost surely, 2231424100 is an apocalyptic number.

231424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231424100 is an abundant number, since it is smaller than the sum of its proper divisors (270766414).

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

231424100 is a wasteful number, since it uses less digits than its factorization.

231424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314255 (or 2314248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 231424100 is about 15212.6296214691. The cubic root of 231424100 is about 613.9545107362.

Adding to 231424100 its reverse (1424132), we get a palindrome (232848232).

It can be divided in two parts, 23142 and 4100, that multiplied together give a triangular number (94882200 = T13775).

The spelling of 231424100 in words is "two hundred thirty-one million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2314241 4628482 9256964 11571205 23142410 46284820 57856025 115712050 231424100