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20221112200 = 23522292511759
BaseRepresentation
bin10010110101010001…
…011010111110001000
31221012020120221011111
4102311101122332020
5312403101042300
613142304340104
71314045421612
oct226521327610
957166527144
1020221112200
118637321983
123b04014634
131ba3444663
14d9b801db2
157d53959ba
hex4b545af88

20221112200 has 96 divisors (see below), whose sum is σ = 47434464000. Its totient is φ = 8016480000.

The previous prime is 20221112161. The next prime is 20221112203. The reversal of 20221112200 is 221112202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20221112203) by changing a digit.

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, 11494921 + ... + 11496679.

It is an arithmetic number, because the mean of its divisors is an integer number (494109000).

Almost surely, 220221112200 is an apocalyptic number.

20221112200 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 20221112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23717232000).

20221112200 is an abundant number, since it is smaller than the sum of its proper divisors (27213351800).

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

20221112200 is a wasteful number, since it uses less digits than its factorization.

20221112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20221112200 its reverse (221112202), we get a palindrome (20442224402).

The spelling of 20221112200 in words is "twenty billion, two hundred twenty-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 251 458 502 916 1004 1145 1255 1759 1832 2008 2290 2510 3518 4580 5020 5725 6275 7036 8795 9160 10040 11450 12550 14072 17590 22900 25100 35180 43975 45800 50200 57479 70360 87950 114958 175900 229916 287395 351800 402811 441509 459832 574790 805622 883018 1149580 1436975 1611244 1766036 2014055 2207545 2299160 2873950 3222488 3532072 4028110 4415090 5747900 8056220 8830180 10070275 11037725 11495800 16112440 17660360 20140550 22075450 40281100 44150900 80562200 88301800 101105561 202211122 404422244 505527805 808844488 1011055610 2022111220 2527639025 4044222440 5055278050 10110556100 20221112200