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11222342340 = 223511103165083
BaseRepresentation
bin10100111001110011…
…10101101011000100
31001222002211001120220
422130321311223010
5140440404423330
65053325424340
7545046223146
oct123471655304
931862731526
1011222342340
1148397a09a0
12221240b0b0
13109b005271
1478662ac96
1545a35d710
hex29ce75ac4

11222342340 has 96 divisors (see below), whose sum is σ = 34612171776. Its totient is φ = 2694138240.

The previous prime is 11222342323. The next prime is 11222342389. The reversal of 11222342340 is 4324322211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11222342340.

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, 14562 + ... + 150521.

It is an arithmetic number, because the mean of its divisors is an integer number (360543456).

Almost surely, 211222342340 is an apocalyptic number.

11222342340 is a gapful number since it is divisible by the number (10) 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 11222342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17306085888).

11222342340 is an abundant number, since it is smaller than the sum of its proper divisors (23389829436).

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

11222342340 is a wasteful number, since it uses less digits than its factorization.

11222342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165209 (or 165207 counting only the distinct ones).

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

Adding to 11222342340 its reverse (4324322211), we get a palindrome (15546664551).

The spelling of 11222342340 in words is "eleven billion, two hundred twenty-two million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 1030 1133 1236 1545 2060 2266 3090 3399 4532 5665 6180 6798 11330 13596 16995 22660 33990 67980 165083 330166 495249 660332 825415 990498 1650830 1815913 1980996 2476245 3301660 3631826 4952490 5447739 7263652 9079565 9904980 10895478 17003549 18159130 21790956 27238695 34007098 36318260 51010647 54477390 68014196 85017745 102021294 108954780 170035490 187039039 204042588 255053235 340070980 374078078 510106470 561117117 748156156 935195195 1020212940 1122234234 1870390390 2244468468 2805585585 3740780780 5611171170 11222342340