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2002202202221 = 132293728139293
BaseRepresentation
bin11101001000101100100…
…011010001000001101101
321002102000220200022111022
4131020230203101001231
5230301002230432341
64131444325503525
7264440302625504
oct35105443210155
97072026608438
102002202202221
11702146a44a21
12284059571ba5
13116a64887200
146cc9b14183b
15371364d1e4b
hex1d22c8d106d

2002202202221 has 48 divisors (see below), whose sum is σ = 2311699026960. Its totient is φ = 1730004756480.

The previous prime is 2002202202211. The next prime is 2002202202293. The reversal of 2002202202221 is 1222022022002.

It can be written as a sum of positive squares in 24 ways, for example, as 573904729225 + 1428297472996 = 757565^2 + 1195114^2 .

It is not a de Polignac number, because 2002202202221 - 222 = 2002198007917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002202202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002202202211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50936051 + ... + 50975343.

It is an arithmetic number, because the mean of its divisors is an integer number (48160396395).

Almost surely, 22002202202221 is an apocalyptic number.

It is an amenable number.

2002202202221 is a deficient number, since it is larger than the sum of its proper divisors (309496824739).

2002202202221 is a wasteful number, since it uses less digits than its factorization.

2002202202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39666 (or 39653 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 2002202202221 its reverse (1222022022002), we get a palindrome (3224224224223).

The spelling of 2002202202221 in words is "two trillion, two billion, two hundred two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 13 29 37 169 281 377 481 1073 3653 4901 6253 8149 10397 13949 39293 47489 105937 135161 181337 301513 510809 1139497 1377181 1453841 1757093 3919669 6640517 11041333 14813461 18899933 42161389 50955697 143537329 192574993 245699129 320198657 408529321 548098057 1865985277 4162582541 5310881173 7125274741 11847350309 54113573033 69041455249 154015554017 2002202202221