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231464500 = 2253617589
BaseRepresentation
bin11011100101111…
…01111000110100
3121010112121121021
431302331320310
5433223331000
634545030524
75510262421
oct1562757064
9533477537
10231464500
11109723783
1265625444
1338c52a57
1422a52d48
15154c211a
hexdcbde34

231464500 has 48 divisors (see below), whose sum is σ = 513873360. Its totient is φ = 91056000.

The previous prime is 231464491. The next prime is 231464521. The reversal of 231464500 is 5464132.

It can be written as a sum of positive squares in 8 ways, for example, as 207532836 + 23931664 = 14406^2 + 4892^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26706 + ... + 34294.

It is an arithmetic number, because the mean of its divisors is an integer number (10705695).

Almost surely, 2231464500 is an apocalyptic number.

231464500 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 231464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256936680).

231464500 is an abundant number, since it is smaller than the sum of its proper divisors (282408860).

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

231464500 is a wasteful number, since it uses less digits than its factorization.

231464500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 231464500 is about 15213.9574075912. The cubic root of 231464500 is about 613.9902349312.

The spelling of 231464500 in words is "two hundred thirty-one million, four hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 1220 1525 3050 6100 7589 7625 15178 15250 30356 30500 37945 75890 151780 189725 379450 462929 758900 925858 948625 1851716 1897250 2314645 3794500 4629290 9258580 11573225 23146450 46292900 57866125 115732250 231464500