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22023222100 = 225211215711593
BaseRepresentation
bin10100100000101011…
…111011001101010100
32002211211120121012121
4110200223323031110
5330100421101400
614041202025324
71406520204415
oct244053731524
962754517177
1022023222100
119381597800
124327648244
1320cc8c2b89
1410ccca780c
1588d6b921a
hex520afb354

22023222100 has 108 divisors (see below), whose sum is σ = 52869080572. Its totient is φ = 7956748800.

The previous prime is 22023222073. The next prime is 22023222113. The reversal of 22023222100 is 122232022.

It can be written as a sum of positive squares in 6 ways, for example, as 23213124 + 22000008976 = 4818^2 + 148324^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1893904 + ... + 1905496.

Almost surely, 222023222100 is an apocalyptic number.

22023222100 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 22023222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26434540286).

22023222100 is an abundant number, since it is smaller than the sum of its proper divisors (30845858472).

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

22023222100 is a wasteful number, since it uses less digits than its factorization.

22023222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11786 (or 11768 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22023222100 its reverse (122232022), we get a palindrome (22145454122).

The spelling of 22023222100 in words is "twenty-two billion, twenty-three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 157 220 242 275 314 484 550 605 628 785 1100 1210 1570 1727 2420 3025 3140 3454 3925 6050 6908 7850 8635 11593 12100 15700 17270 18997 23186 34540 37994 43175 46372 57965 75988 86350 94985 115930 127523 172700 189970 231860 255046 289825 379940 474925 510092 579650 637615 949850 1159300 1275230 1402753 1820101 1899700 2550460 2805506 3188075 3640202 5611012 6376150 7013765 7280404 9100505 12752300 14027530 18201010 20021111 28055060 35068825 36402020 40042222 45502525 70137650 80084444 91005050 100105555 140275300 182010100 200211110 220232221 400422220 440464442 500527775 880928884 1001055550 1101161105 2002111100 2202322210 4404644420 5505805525 11011611050 22023222100