Search a number
-
+
202212201020202 = 23329416473100501
BaseRepresentation
bin101101111110100100110010…
…011010010011101100101010
3222111222022000222010122021000
4231332210302122103230222
5203001021041430121302
61554023000330455430
760410230563610212
oct5576446232235452
9874868028118230
10202212201020202
11594817928a63aa
121a81a0b4b94576
1388aa6b482a6a9
1437d11a0b7d242
15185a00b71d31c
hexb7e932693b2a

202212201020202 has 64 divisors (see below), whose sum is σ = 464866946265600. Its totient is φ = 65078205192000.

The previous prime is 202212201020189. The next prime is 202212201020209. The reversal of 202212201020202 is 202020102212202.

202212201020202 is a `hidden beast` number, since 2 + 0 + 221 + 220 + 1 + 0 + 20 + 202 = 666.

It is a super-2 number, since 2×2022122010202022 (a number of 29 digits) contains 22 as substring.

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 (202212201020209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63668952 + ... + 66769452.

It is an arithmetic number, because the mean of its divisors is an integer number (7263546035400).

Almost surely, 2202212201020202 is an apocalyptic number.

202212201020202 is an abundant number, since it is smaller than the sum of its proper divisors (262654745245398).

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

202212201020202 is a wasteful number, since it uses less digits than its factorization.

202212201020202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142188 (or 3142182 counting only the distinct ones).

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

Adding to 202212201020202 its reverse (202020102212202), we get a palindrome (404232303232404).

The spelling of 202212201020202 in words is "two hundred two trillion, two hundred twelve billion, two hundred one million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 41647 83294 124941 249882 374823 749646 1124469 1207763 2248938 2415526 3100501 3623289 6201002 7246578 9301503 10869867 18603006 21739734 27904509 32609601 55809018 65219202 83713527 89914529 167427054 179829058 269743587 539487174 809230761 1618461522 2427692283 4855384566 129126565147 258253130294 387379695441 774759390882 1162139086323 2324278172646 3486417258969 3744670389263 6972834517938 7489340778526 11234011167789 22468022335578 33702033503367 67404067006734 101106100510101 202212201020202