Search a number
-
+
222122202121120 = 2557198323394751
BaseRepresentation
bin110010100000010011011010…
…111101000100001110100000
31002010110200020011210100222011
4302200103122331010032200
5213103222232220333440
62104225310404122304
764533541143622210
oct6240233275041640
91063420204710864
10222122202121120
11648585514244a4
1220ab4930096394
1396c30592b6292
143cbcab4308240
151aa2d953939ea
hexca04daf443a0

222122202121120 has 48 divisors (see below), whose sum is σ = 599729945730048. Its totient is φ = 76156183584000.

The previous prime is 222122202121111. The next prime is 222122202121129. The reversal of 222122202121120 is 21121202221222.

It is an interprime number because it is at equal distance from previous prime (222122202121111) and next prime (222122202121129).

It is a junction number, because it is equal to n+sod(n) for n = 222122202121091 and 222122202121100.

It is not an unprimeable number, because it can be changed into a prime (222122202121129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99161696256 + ... + 99161698495.

It is an arithmetic number, because the mean of its divisors is an integer number (12494373869376).

Almost surely, 2222122202121120 is an apocalyptic number.

222122202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122202121120 is an abundant number, since it is smaller than the sum of its proper divisors (377607743608928).

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

222122202121120 is a wasteful number, since it uses less digits than its factorization.

222122202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198323394773 (or 198323394765 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 222122202121120 its reverse (21121202221222), we get a palindrome (243243404342342).

The spelling of 222122202121120 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 198323394751 396646789502 793293579004 991616973755 1388263763257 1586587158008 1983233947510 2776527526514 3173174316016 3966467895020 5553055053028 6346348632032 6941318816285 7932935790040 11106110106056 13882637632570 15865871580080 22212220212112 27765275265140 31731743160160 44424440424224 55530550530280 111061101060560 222122202121120