Search a number
-
+
222122012002002 = 23277732280560299
BaseRepresentation
bin110010100000010011001111…
…100111110100011011010010
31002010110122201221001022120100
4302200103033213310123102
5213103221340033031002
62104225235453153230
764533533344630110
oct6240231747643322
91063418657038510
10222122012002002
1164858464080162
1220ab489848b816
1396c3028aab568
143cbca96d78ab0
151aa2d8383c11c
hexca04cf9f46d2

222122012002002 has 48 divisors (see below), whose sum is σ = 550727945726400. Its totient is φ = 63381331802016.

The previous prime is 222122012002001. The next prime is 222122012002013. The reversal of 222122012002002 is 200200210221222.

222122012002002 is a `hidden beast` number, since 2 + 221 + 220 + 1 + 20 + 0 + 200 + 2 = 666.

222122012002002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (222122012002001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140182752 + ... + 1140377547.

It is an arithmetic number, because the mean of its divisors is an integer number (11473498869300).

Almost surely, 2222122012002002 is an apocalyptic number.

222122012002002 is an abundant number, since it is smaller than the sum of its proper divisors (328605933724398).

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

222122012002002 is a wasteful number, since it uses less digits than its factorization.

222122012002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280561087 (or 2280561084 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222122012002002 its reverse (200200210221222), we get a palindrome (422322222223224).

The spelling of 222122012002002 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, twelve million, two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 773 1546 2319 4638 5411 6957 10822 13914 16233 32466 48699 97398 2280560299 4561120598 6841680897 13683361794 15963922093 20525042691 31927844186 41050085382 47891766279 95783532558 143675298837 287350597674 1762873111127 3525746222254 5288619333381 10577238666762 12340111777889 15865858000143 24680223555778 31731716000286 37020335333667 74040670667334 111061006001001 222122012002002