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231222024 = 2332111372131
BaseRepresentation
bin11011100100000…
…10101100001000
3121010002021222200
431302002230020
5433143101044
634535520200
75505232455
oct1562025410
9533067880
10231222024
11109578590
1265529060
1338b99587
14229cc82c
1515475369
hexdc82b08

231222024 has 96 divisors (see below), whose sum is σ = 688465440. Its totient is φ = 69523200.

The previous prime is 231222023. The next prime is 231222031. The reversal of 231222024 is 420222132.

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 = 231221988 and 231222006.

It is not an unprimeable number, because it can be changed into a prime (231222023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107439 + ... + 109569.

It is an arithmetic number, because the mean of its divisors is an integer number (7171515).

Almost surely, 2231222024 is an apocalyptic number.

231222024 is a gapful number since it is divisible by the number (24) 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 231222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344232720).

231222024 is an abundant number, since it is smaller than the sum of its proper divisors (457243416).

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

231222024 is a wasteful number, since it uses less digits than its factorization.

231222024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 231222024 is about 15205.9864527100. The cubic root of 231222024 is about 613.7757601221.

Adding to 231222024 its reverse (420222132), we get a palindrome (651444156).

It can be divided in two parts, 2312 and 22024, that added together give a square (24336 = 1562).

The spelling of 231222024 in words is "two hundred thirty-one million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 137 198 264 274 396 411 548 792 822 1096 1233 1507 1644 2131 2466 3014 3288 4262 4521 4932 6028 6393 8524 9042 9864 12056 12786 13563 17048 18084 19179 23441 25572 27126 36168 38358 46882 51144 54252 70323 76716 93764 108504 140646 153432 187528 210969 281292 291947 421938 562584 583894 843876 875841 1167788 1687752 1751682 2335576 2627523 3211417 3503364 5255046 6422834 7006728 9634251 10510092 12845668 19268502 21020184 25691336 28902753 38537004 57805506 77074008 115611012 231222024