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222012202220020 = 22517238410415609
BaseRepresentation
bin110010011110101100111110…
…011100101111100111110100
31002010002011022002120102021001
4302132230332130233213310
5213044421442232020040
62104102555300333044
764522565223113122
oct6236547634574764
91063064262512231
10222012202220020
1164815934341723
1220a975513a4184
1396b5878b223c4
143cb763b14c912
151aa00a82ba59a
hexc9eb3e72f9f4

222012202220020 has 36 divisors (see below), whose sum is σ = 495263898875340. Its totient is φ = 83581064363008.

The previous prime is 222012202219993. The next prime is 222012202220021. The reversal of 222012202220020 is 20022202210222.

It can be written as a sum of positive squares in 6 ways, for example, as 36979679912464 + 185032522307556 = 6081092^2 + 13602666^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222012202220020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222012202220021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19205202025 + ... + 19205213584.

It is an arithmetic number, because the mean of its divisors is an integer number (13757330524315).

Almost surely, 2222012202220020 is an apocalyptic number.

222012202220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222012202220020 is an abundant number, since it is smaller than the sum of its proper divisors (273251696655320).

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

222012202220020 is a wasteful number, since it uses less digits than its factorization.

222012202220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38410415652 (or 38410415633 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 222012202220020 its reverse (20022202210222), we get a palindrome (242034404430242).

It can be divided in two parts, 222012202 and 220020, that added together give a palindrome (222232222).

The spelling of 222012202220020 in words is "two hundred twenty-two trillion, twelve billion, two hundred two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 38410415609 76820831218 153641662436 192052078045 384104156090 652977065353 768208312180 1305954130706 2611908261412 3264885326765 6529770653530 11100610111001 13059541307060 22201220222002 44402440444004 55503050555005 111006101110010 222012202220020