Search a number
-
+
222101111221002 = 23213949150047953
BaseRepresentation
bin110010011111111111110001…
…110101101010101100001010
31002010101122210022112122002100
4302133333301311222230022
5213102401033433033002
62104211501505014230
764532163404132406
oct6237776165525412
91063348708478070
10222101111221002
116484a609136032
1220ab0824924376
1396c10778c5920
143cbba731b2106
151aa255d98d11c
hexc9fff1d6ab0a

222101111221002 has 24 divisors (see below), whose sum is σ = 518235926182884. Its totient is φ = 68338803452544.

The previous prime is 222101111220977. The next prime is 222101111221037. The reversal of 222101111221002 is 200122111101222.

It can be written as a sum of positive squares in 2 ways, for example, as 215406374139441 + 6694737081561 = 14676729^2 + 2587419^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474575023743 + ... + 474575024210.

Almost surely, 2222101111221002 is an apocalyptic number.

222101111221002 is an abundant number, since it is smaller than the sum of its proper divisors (296134814961882).

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

222101111221002 is a wasteful number, since it uses less digits than its factorization.

222101111221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949150047974 (or 949150047971 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222101111221002 its reverse (200122111101222), we get a palindrome (422223222322224).

The spelling of 222101111221002 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred eleven million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 949150047953 1898300095906 2847450143859 5694900287718 8542350431577 12338950623389 17084700863154 24677901246778 37016851870167 74033703740334 111050555610501 222101111221002