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231413220 = 223351014243
BaseRepresentation
bin11011100101100…
…01010111100100
3121010110000021000
431302301113210
5433220210340
634543553300
75506660053
oct1562612744
9533400230
10231413220
111096991a5
12655bb830
1338c355cc
1422a3c39a
15154b1d30
hexdcb15e4

231413220 has 96 divisors (see below), whose sum is σ = 727251840. Its totient is φ = 61084800.

The previous prime is 231413201. The next prime is 231413227. The reversal of 231413220 is 22314132.

231413220 = T316 + T317 + ... + T1123.

231413220 is a `hidden beast` number, since 2 + 31 + 413 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 231413193 and 231413202.

It is not an unprimeable number, because it can be changed into a prime (231413227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52419 + ... + 56661.

It is an arithmetic number, because the mean of its divisors is an integer number (7575540).

Almost surely, 2231413220 is an apocalyptic number.

231413220 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 231413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363625920).

231413220 is an abundant number, since it is smaller than the sum of its proper divisors (495838620).

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

231413220 is a wasteful number, since it uses less digits than its factorization.

231413220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4354 counting only the distinct ones).

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

The square root of 231413220 is about 15212.2720196557. The cubic root of 231413220 is about 613.9448892523.

Adding to 231413220 its reverse (22314132), we get a palindrome (253727352).

The spelling of 231413220 in words is "two hundred thirty-one million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4243 4545 5454 6060 8486 9090 10908 12729 13635 16972 18180 21215 25458 27270 38187 42430 50916 54540 63645 76374 84860 114561 127290 152748 190935 229122 254580 381870 428543 458244 572805 763740 857086 1145610 1285629 1714172 2142715 2291220 2571258 3856887 4285430 5142516 6428145 7713774 8570860 11570661 12856290 15427548 19284435 23141322 25712580 38568870 46282644 57853305 77137740 115706610 231413220