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231441300 = 22345228573
BaseRepresentation
bin11011100101110…
…00001110010100
3121010111102210000
431302320032110
5433222110200
634544331300
75510134656
oct1562701624
9533442700
10231441300
11109708302
1265613b30
1338c4531c
1422a486d6
15154ba300
hexdcb8394

231441300 has 90 divisors (see below), whose sum is σ = 750267518. Its totient is φ = 61715520.

The previous prime is 231441293. The next prime is 231441307. The reversal of 231441300 is 3144132.

231441300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231441293) and next prime (231441307).

It can be written as a sum of positive squares in 3 ways, for example, as 3370896 + 228070404 = 1836^2 + 15102^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231441307) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6187 + ... + 22386.

Almost surely, 2231441300 is an apocalyptic number.

231441300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231441300 is an abundant number, since it is smaller than the sum of its proper divisors (518826218).

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

231441300 is a wasteful number, since it uses less digits than its factorization.

231441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28599 (or 28583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231441300 is about 15213.1949307172. The cubic root of 231441300 is about 613.9697205551.

Adding to 231441300 its reverse (3144132), we get a palindrome (234585432).

The spelling of 231441300 in words is "two hundred thirty-one million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 28573 57146 85719 114292 142865 171438 257157 285730 342876 428595 514314 571460 714325 771471 857190 1028628 1285785 1428650 1542942 1714380 2142975 2314413 2571570 2857300 3085884 3857355 4285950 4628826 5143140 6428925 7714710 8571900 9257652 11572065 12857850 15429420 19286775 23144130 25715700 38573550 46288260 57860325 77147100 115720650 231441300