Search a number
-
+
222001122120 = 23353159677721
BaseRepresentation
bin1100111011000001001…
…1000100101101001000
3210020000122021111020020
43032300103010231020
512114124241401440
6245552542300440
722016252255121
oct3166023045510
9706018244206
10222001122120
1186171933958
1237037887720
1317c1c474b2b
14aa60075048
155b94c253d0
hex33b04c4b48

222001122120 has 64 divisors (see below), whose sum is σ = 687487357440. Its totient is φ = 57290611200.

The previous prime is 222001122107. The next prime is 222001122127. The reversal of 222001122120 is 21221100222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222001122120.

It is not an unprimeable number, because it can be changed into a prime (222001122127) 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, 29835141 + ... + 29842580.

It is an arithmetic number, because the mean of its divisors is an integer number (10741989960).

Almost surely, 2222001122120 is an apocalyptic number.

222001122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222001122120 is an abundant number, since it is smaller than the sum of its proper divisors (465486235320).

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

222001122120 is a wasteful number, since it uses less digits than its factorization.

222001122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59677766 (or 59677762 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 222001122120 its reverse (21221100222), we get a palindrome (243222222342).

The spelling of 222001122120 in words is "two hundred twenty-two billion, one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 59677721 119355442 179033163 238710884 298388605 358066326 477421768 596777210 716132652 895165815 1193554420 1432265304 1790331630 1850009351 2387108840 3580663260 3700018702 5550028053 7161326520 7400037404 9250046755 11100056106 14800074808 18500093510 22200112212 27750140265 37000187020 44400224424 55500280530 74000374040 111000561060 222001122120