Search a number
-
+
202212221121219 = 32517191345127767
BaseRepresentation
bin101101111110100100110011…
…100110111111001011000011
3222111222022002100221212200010
4231332210303212333023003
5203001021112101334334
61554023002325400003
760410231226506601
oct5576446346771303
9874868070855603
10202212221121219
11594817a3185611
121a81a0bb869003
1388aa6b8a47a9a
1437d11a36d2871
15185a00d38e0e9
hexb7e9339bf2c3

202212221121219 has 32 divisors (see below), whose sum is σ = 271096860303360. Its totient is φ = 134069519300000.

The previous prime is 202212221121203. The next prime is 202212221121247. The reversal of 202212221121219 is 912121122212202.

It is a cyclic number.

It is not a de Polignac number, because 202212221121219 - 24 = 202212221121203 is a prime.

It is a super-2 number, since 2×2022122211212192 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202212221125219) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7282451674 + ... + 7282479440.

It is an arithmetic number, because the mean of its divisors is an integer number (8471776884480).

Almost surely, 2202212221121219 is an apocalyptic number.

202212221121219 is a deficient number, since it is larger than the sum of its proper divisors (68884639182141).

202212221121219 is a wasteful number, since it uses less digits than its factorization.

202212221121219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42191.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 202212221121219 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred nineteen".

Divisors: 1 3 251 719 753 2157 13451 27767 40353 83301 180469 541407 3376201 6969517 9671269 10128603 19964473 20908551 29013807 59893419 373493917 1120481751 2427488519 5011082723 7282465557 15033248169 93746973167 268542126323 281240919501 805626378969 67404073707073 202212221121219