Search a number
-
+
222202000010221 = 71110771593767221
BaseRepresentation
bin110010100001011101101111…
…010001110110101111101101
31002010202022012102121010221021
4302201131233101312233231
5213111024144000311341
62104330104541534141
764542364462525210
oct6241355721665755
91063668172533837
10222202000010221
1164889380236680
1220b082a0274351
1396ca7355a503a
143cc28c42b1777
151aa4eb5c3c9d1
hexca176f476bed

222202000010221 has 32 divisors (see below), whose sum is σ = 279659273103360. Its totient is φ = 171502238433600.

The previous prime is 222202000010189. The next prime is 222202000010251. The reversal of 222202000010221 is 122010000202222.

It is a cyclic number.

It is not a de Polignac number, because 222202000010221 - 25 = 222202000010189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222202000010195 and 222202000010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222202000010251) 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, 57099391 + ... + 60866611.

It is an arithmetic number, because the mean of its divisors is an integer number (8739352284480).

Almost surely, 2222202000010221 is an apocalyptic number.

It is an amenable number.

222202000010221 is a deficient number, since it is larger than the sum of its proper divisors (57457273093139).

222202000010221 is a wasteful number, since it uses less digits than its factorization.

222202000010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774505.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222202000010221 its reverse (122010000202222), we get a palindrome (344212000212443).

The spelling of 222202000010221 in words is "two hundred twenty-two trillion, two hundred two billion, ten thousand, two hundred twenty-one".

Divisors: 1 7 11 77 107 749 1177 7159 8239 50113 78749 551243 766013 3767221 5362091 8426143 26370547 41439431 58983001 290076017 403092647 2821648529 4434019117 26969535139 31038133819 188786745973 296664886529 2076654205703 2885740259873 20200181819111 31743142858603 222202000010221