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22021120200 = 23352130728081
BaseRepresentation
bin10100100000100011…
…111010000011001000
32002211200121210221110
4110200203322003020
5330044401321300
614041045010320
71406463301422
oct244043720310
962750553843
1022021120200
1193803915a2
1243269b39a0
1320cc338251
1410cc8bb812
1588d401550
hex5208fa0c8

22021120200 has 96 divisors (see below), whose sum is σ = 68320136160. Its totient is φ = 5867596800.

The previous prime is 22021120151. The next prime is 22021120229. The reversal of 22021120200 is 202112022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770160 + ... + 798240.

It is an arithmetic number, because the mean of its divisors is an integer number (711668085).

Almost surely, 222021120200 is an apocalyptic number.

22021120200 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 22021120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34160068080).

22021120200 is an abundant number, since it is smaller than the sum of its proper divisors (46299015960).

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

22021120200 is a wasteful number, since it uses less digits than its factorization.

22021120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29407 (or 29398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22021120200 its reverse (202112022), we get a palindrome (22223232222).

The spelling of 22021120200 in words is "twenty-two billion, twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1307 2614 3921 5228 6535 7842 10456 13070 15684 19605 26140 28081 31368 32675 39210 52280 56162 65350 78420 84243 98025 112324 130700 140405 156840 168486 196050 224648 261400 280810 336972 392100 421215 561620 673944 702025 784200 842430 1123240 1404050 1684860 2106075 2808100 3369720 4212150 5616200 8424300 16848600 36701867 73403734 110105601 146807468 183509335 220211202 293614936 367018670 440422404 550528005 734037340 880844808 917546675 1101056010 1468074680 1835093350 2202112020 2752640025 3670186700 4404224040 5505280050 7340373400 11010560100 22021120200