Search a number
-
+
2222122102002 = 2321179331414703
BaseRepresentation
bin100000010101100000110…
…011000110110011110010
321212102200111202202101200
4200111200303012303302
5242401401224231002
64420455004312030
7316354154135205
oct40254063066362
97772614682350
102222122102002
1178743aaa5710
122ba7b4242616
13131711ab711a
14797a0a1793c
153cc0864db1c
hex20560cc6cf2

2222122102002 has 48 divisors (see below), whose sum is σ = 5252954398848. Its totient is φ = 673284975840.

The previous prime is 2222122101949. The next prime is 2222122102003. The reversal of 2222122102002 is 2002012212222.

2222122102002 is a `hidden beast` number, since 22 + 221 + 221 + 0 + 200 + 2 = 666.

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 (2222122102003) 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, 863383 + ... + 2278085.

It is an arithmetic number, because the mean of its divisors is an integer number (109436549976).

Almost surely, 22222122102002 is an apocalyptic number.

2222122102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2222122102002 is an abundant number, since it is smaller than the sum of its proper divisors (3030832296846).

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

2222122102002 is a wasteful number, since it uses less digits than its factorization.

2222122102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422655 (or 1422652 counting only the distinct ones).

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

Adding to 2222122102002 its reverse (2002012212222), we get a palindrome (4224134314224).

The spelling of 2222122102002 in words is "two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 7933 15866 23799 47598 71397 87263 142794 174526 261789 523578 785367 1414703 1570734 2829406 4244109 8488218 12732327 15561733 25464654 31123466 46685199 93370398 140055597 280111194 11222838899 22445677798 33668516697 67337033394 101005550091 123451227889 202011100182 246902455778 370353683667 740707367334 1111061051001 2222122102002