Search a number
-
+
22022122100 = 22521124183071
BaseRepresentation
bin10100100000100111…
…101110101001110100
32002211202111201021212
4110200213232221310
5330100130401400
614041122300552
71406504643416
oct244047565164
962752451255
1022022122100
119380a06310
1243271b7758
1320cc5c92a4
1410cca9c9b6
1588d54d335
hex5209eea74

22022122100 has 72 divisors (see below), whose sum is σ = 52349316096. Its totient is φ = 7974720000.

The previous prime is 22022122097. The next prime is 22022122127. The reversal of 22022122100 is 122122022.

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 23 ways as a sum of consecutive naturals, for example, 223565 + ... + 306635.

Almost surely, 222022122100 is an apocalyptic number.

22022122100 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 22022122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26174658048).

22022122100 is an abundant number, since it is smaller than the sum of its proper divisors (30327193996).

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

22022122100 is a wasteful number, since it uses less digits than its factorization.

22022122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83337 (or 83330 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22022122100 its reverse (122122022), we get a palindrome (22144244122).

The spelling of 22022122100 in words is "twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 241 275 482 550 964 1100 1205 2410 2651 4820 5302 6025 10604 12050 13255 24100 26510 53020 66275 83071 132550 166142 265100 332284 415355 830710 913781 1661420 1827562 2076775 3655124 4153550 4568905 8307100 9137810 18275620 20020111 22844525 40040222 45689050 80080444 91378100 100100555 200201110 220221221 400402220 440442442 500502775 880884884 1001005550 1101106105 2002011100 2202212210 4404424420 5505530525 11011061050 22022122100