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22431122340 = 223511137248077
BaseRepresentation
bin10100111000111111…
…111100001110100100
32010220021010002010220
4110320333330032210
5331414331403330
614145452444340
71422602252064
oct247077741644
963807102126
1022431122340
119570869240
1244201796b0
13216626c373
14112b1273a4
158b43dd710
hex538ffc3a4

22431122340 has 96 divisors (see below), whose sum is σ = 69017284224. Its totient is φ = 5398133760.

The previous prime is 22431122339. The next prime is 22431122341. The reversal of 22431122340 is 4322113422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22431122339) and next prime (22431122341).

It is a self number, because there is not a number n which added to its sum of digits gives 22431122340.

It is not an unprimeable number, because it can be changed into a prime (22431122341) 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, 33619 + ... + 214458.

It is an arithmetic number, because the mean of its divisors is an integer number (718930044).

Almost surely, 222431122340 is an apocalyptic number.

22431122340 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 22431122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34508642112).

22431122340 is an abundant number, since it is smaller than the sum of its proper divisors (46586161884).

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

22431122340 is a wasteful number, since it uses less digits than its factorization.

22431122340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248237 (or 248235 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22431122340 its reverse (4322113422), we get a palindrome (26753235762).

The spelling of 22431122340 in words is "twenty-two billion, four hundred thirty-one million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 137 165 220 274 330 411 548 660 685 822 1370 1507 1644 2055 2740 3014 4110 4521 6028 7535 8220 9042 15070 18084 22605 30140 45210 90420 248077 496154 744231 992308 1240385 1488462 2480770 2728847 2976924 3721155 4961540 5457694 7442310 8186541 10915388 13644235 14884620 16373082 27288470 32746164 33986549 40932705 54576940 67973098 81865410 101959647 135946196 163730820 169932745 203919294 339865490 373852039 407838588 509798235 679730980 747704078 1019596470 1121556117 1495408156 1869260195 2039192940 2243112234 3738520390 4486224468 5607780585 7477040780 11215561170 22431122340