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22112000233220 = 22540124371131353
BaseRepresentation
bin1010000011100010110011…
…11010110100111100000100
32220021212221022111201010202
411001301121322310330010
510344240334024430340
6115010040200510032
74441352656553102
oct501613172647404
986255838451122
1022112000233220
117055712744837
12259155417b318
13c451ca571551
1456632580ac72
152852b5867c15
hex141c59eb4f04

22112000233220 has 48 divisors (see below), whose sum is σ = 46570141921968. Its totient is φ = 8819115110400.

The previous prime is 22112000233217. The next prime is 22112000233229. The reversal of 22112000233220 is 2233200021122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11095880778304 + 11016119454916 = 3331048^2 + 3319054^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22112000233192 and 22112000233201.

It is not an unprimeable number, because it can be changed into a prime (22112000233229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18979064 + ... + 20110416.

It is an arithmetic number, because the mean of its divisors is an integer number (970211290041).

Almost surely, 222112000233220 is an apocalyptic number.

22112000233220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112000233220 is an abundant number, since it is smaller than the sum of its proper divisors (24458141688748).

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

22112000233220 is a wasteful number, since it uses less digits than its factorization.

22112000233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134200 (or 1134198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22112000233220 its reverse (2233200021122), we get a palindrome (24345200254342).

The spelling of 22112000233220 in words is "twenty-two trillion, one hundred twelve billion, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 401 802 1604 2005 2437 4010 4874 8020 9748 12185 24370 48740 977237 1131353 1954474 2262706 3908948 4525412 4886185 5656765 9772370 11313530 19544740 22627060 453672553 907345106 1814690212 2268362765 2757107261 4536725530 5514214522 9073451060 11028429044 13785536305 27571072610 55142145220 1105600011661 2211200023322 4422400046644 5528000058305 11056000116610 22112000233220