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22131252444 = 22372979115001
BaseRepresentation
bin10100100111001000…
…000001110011011100
32010010100212002222110
4110213020001303130
5330311100034234
614100021314020
71412301353610
oct244710016334
963110762873
1022131252444
119427573584
124357865910
1321190b8862
1410dd389340
15897e081e9
hex527201cdc

22131252444 has 96 divisors (see below), whose sum is σ = 61825075200. Its totient is φ = 6027840000.

The previous prime is 22131252433. The next prime is 22131252449. The reversal of 22131252444 is 44425213122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131252449) 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, 134944 + ... + 249944.

It is an arithmetic number, because the mean of its divisors is an integer number (644011200).

Almost surely, 222131252444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22131252444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30912537600).

22131252444 is an abundant number, since it is smaller than the sum of its proper divisors (39693822756).

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

22131252444 is a wasteful number, since it uses less digits than its factorization.

22131252444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115123 (or 115121 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 22131252444 its reverse (44425213122), we get a palindrome (66556465566).

The spelling of 22131252444 in words is "twenty-two billion, one hundred thirty-one million, two hundred fifty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 79 84 87 116 158 174 203 237 316 348 406 474 553 609 812 948 1106 1218 1659 2212 2291 2436 3318 4582 6636 6873 9164 13746 16037 27492 32074 48111 64148 96222 115001 192444 230002 345003 460004 690006 805007 1380012 1610014 2415021 3220028 3335029 4830042 6670058 9085079 9660084 10005087 13340116 18170158 20010174 23345203 27255237 36340316 40020348 46690406 54510474 63595553 70035609 93380812 109020948 127191106 140071218 190786659 254382212 263467291 280142436 381573318 526934582 763146636 790401873 1053869164 1580803746 1844271037 3161607492 3688542074 5532813111 7377084148 11065626222 22131252444