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231221320 = 23511343101
BaseRepresentation
bin11011100100000…
…10100001001000
3121010002021000121
431302002201020
5433143040240
634535513024
75505230431
oct1562024110
9533067017
10231221320
11109578000
1265528774
1338b99165
14229cc488
151547504a
hexdc82848

231221320 has 128 divisors (see below), whose sum is σ = 591338880. Its totient is φ = 81312000.

The previous prime is 231221299. The next prime is 231221381. The reversal of 231221320 is 23122132.

It is a junction number, because it is equal to n+sod(n) for n = 231221294 and 231221303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2289270 + ... + 2289370.

It is an arithmetic number, because the mean of its divisors is an integer number (4619835).

Almost surely, 2231221320 is an apocalyptic number.

231221320 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 231221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295669440).

231221320 is an abundant number, since it is smaller than the sum of its proper divisors (360117560).

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

231221320 is a wasteful number, since it uses less digits than its factorization.

231221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 231221320 is about 15205.9633039147. The cubic root of 231221320 is about 613.7751372020.

Adding to 231221320 its reverse (23122132), we get a palindrome (254343452).

It can be divided in two parts, 23122 and 1320, that added together give a palindrome (24442).

The spelling of 231221320 in words is "two hundred thirty-one million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 101 110 121 172 202 215 220 242 344 404 430 440 473 484 505 605 808 860 946 968 1010 1111 1210 1331 1720 1892 2020 2222 2365 2420 2662 3784 4040 4343 4444 4730 4840 5203 5324 5555 6655 8686 8888 9460 10406 10648 11110 12221 13310 17372 18920 20812 21715 22220 24442 26015 26620 34744 41624 43430 44440 47773 48884 52030 53240 57233 61105 86860 95546 97768 104060 114466 122210 134431 173720 191092 208120 228932 238865 244420 268862 286165 382184 457864 477730 488840 525503 537724 572330 672155 955460 1051006 1075448 1144660 1344310 1910920 2102012 2289320 2627515 2688620 4204024 5255030 5377240 5780533 10510060 11561066 21020120 23122132 28902665 46244264 57805330 115610660 231221320