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22104132444340 = 2254212625193877
BaseRepresentation
bin1010000011010100001001…
…11101100110000010110100
32220021010121222212121210121
411001222010331212002310
510344123230401204330
6115002255342501324
74440654002503102
oct501520475460264
986233558777717
1022104132444340
117052345569581
12258bb19294844
13c4454553c47b
14565bba91ac72
15284ea4c8617a
hex141a84f660b4

22104132444340 has 24 divisors (see below), whose sum is σ = 46528936293672. Its totient is φ = 8820651423360.

The previous prime is 22104132444323. The next prime is 22104132444349. The reversal of 22104132444340 is 4344423140122.

It can be written as a sum of positive squares in 4 ways, for example, as 42943443984 + 22061189000356 = 207228^2 + 4696934^2 .

It is a super-2 number, since 2×221041324443402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22104132444296 and 22104132444305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22104132444349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312588519 + ... + 1312605358.

It is an arithmetic number, because the mean of its divisors is an integer number (1938705678903).

Almost surely, 222104132444340 is an apocalyptic number.

22104132444340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22104132444340 is an abundant number, since it is smaller than the sum of its proper divisors (24424803849332).

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

22104132444340 is a wasteful number, since it uses less digits than its factorization.

22104132444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625194307 (or 2625194305 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 22104132444340 its reverse (4344423140122), we get a palindrome (26448555584462).

The spelling of 22104132444340 in words is "twenty-two trillion, one hundred four billion, one hundred thirty-two million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 4210 8420 2625193877 5250387754 10500775508 13125969385 26251938770 52503877540 1105206622217 2210413244434 4420826488868 5526033111085 11052066222170 22104132444340