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231213300 = 223524791609
BaseRepresentation
bin11011100100000…
…00100011110100
3121010001212000120
431302000203310
5433142311200
634535411540
75505165153
oct1562004364
9533055016
10231213300
11109571a7a
1265523bb0
1338b95606
14229c959a
15154729a0
hexdc808f4

231213300 has 72 divisors (see below), whose sum is σ = 670790400. Its totient is φ = 61489920.

The previous prime is 231213247. The next prime is 231213361. The reversal of 231213300 is 3312132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231213300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142896 + ... + 144504.

Almost surely, 2231213300 is an apocalyptic number.

231213300 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 231213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335395200).

231213300 is an abundant number, since it is smaller than the sum of its proper divisors (439577100).

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

231213300 is a wasteful number, since it uses less digits than its factorization.

231213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 231213300 is about 15205.6995892987. The cubic root of 231213300 is about 613.7680407781.

Adding to 231213300 its reverse (3312132), we get a palindrome (234525432).

It can be divided in two parts, 231 and 213300, that added together give a triangular number (213531 = T653).

The spelling of 231213300 in words is "two hundred thirty-one million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 479 958 1437 1609 1916 2395 2874 3218 4790 4827 5748 6436 7185 8045 9580 9654 11975 14370 16090 19308 23950 24135 28740 32180 35925 40225 47900 48270 71850 80450 96540 120675 143700 160900 241350 482700 770711 1541422 2312133 3082844 3853555 4624266 7707110 9248532 11560665 15414220 19267775 23121330 38535550 46242660 57803325 77071100 115606650 231213300