Search a number
-
+
22122002120 = 2351009548117
BaseRepresentation
bin10100100110100100…
…101111011011001000
32010002201110010220212
4110212210233123020
5330301213031440
614055051140252
71412126626001
oct244644573310
963081403825
1022122002120
119422325689
124354744688
1321171ca2aa
1410dc05c1a8
158971cc465
hex52692f6c8

22122002120 has 32 divisors (see below), whose sum is σ = 49823926200. Its totient is φ = 8840014848.

The previous prime is 22122002093. The next prime is 22122002141. The reversal of 22122002120 is 2120022122.

It can be written as a sum of positive squares in 4 ways, for example, as 7470836356 + 14651165764 = 86434^2 + 121042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22122002095 and 22122002104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 233699 + ... + 314418.

Almost surely, 222122002120 is an apocalyptic number.

22122002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122002120 is an abundant number, since it is smaller than the sum of its proper divisors (27701924080).

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

22122002120 is a wasteful number, since it uses less digits than its factorization.

22122002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549137 (or 549133 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22122002120 its reverse (2120022122), we get a palindrome (24242024242).

It can be divided in two parts, 22122002 and 120, that added together give a palindrome (22122122).

The spelling of 22122002120 in words is "twenty-two billion, one hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1009 2018 4036 5045 8072 10090 20180 40360 548117 1096234 2192468 2740585 4384936 5481170 10962340 21924680 553050053 1106100106 2212200212 2765250265 4424400424 5530500530 11061001060 22122002120