Search a number
-
+
222201100221201 = 3427198269122011
BaseRepresentation
bin110010100001011100111001…
…101001011011101100010001
31002010202012212201111010110000
4302201130321221123230101
5213111020323124034301
62104325435400200213
764542333255455463
oct6241347151335421
91063665781433400
10222201100221201
1164888a59338892
1220b0808aa69069
1396ca6210536ba
143cc283a9ac133
151aa4e61c53786
hexca1739a5bb11

222201100221201 has 40 divisors (see below), whose sum is σ = 332094994668800. Its totient is φ = 148060464420960.

The previous prime is 222201100221193. The next prime is 222201100221223. The reversal of 222201100221201 is 102122001102222.

It is a happy number.

222201100221201 is a `hidden beast` number, since 22 + 220 + 1 + 1 + 0 + 0 + 221 + 201 = 666.

222201100221201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222201100221201 - 23 = 222201100221193 is a prime.

It is a super-2 number, since 2×2222011002212012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222201100221901) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1821095286 + ... + 1821217296.

It is an arithmetic number, because the mean of its divisors is an integer number (8302374866720).

Almost surely, 2222201100221201 is an apocalyptic number.

It is an amenable number.

222201100221201 is a deficient number, since it is larger than the sum of its proper divisors (109893894447599).

222201100221201 is a wasteful number, since it uses less digits than its factorization.

222201100221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133011 (or 133002 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222201100221201 its reverse (102122001102222), we get a palindrome (324323101323423).

The spelling of 222201100221201 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 27 81 2719 8157 8269 24471 24807 73413 74421 122011 220239 223263 366033 669789 1098099 3294297 9882891 22483411 67450233 202350699 331747909 607052097 995243727 1008908959 1821156291 2985731181 3026726877 8957193543 9080180631 26871580629 27240541893 81721625679 2743223459521 8229670378563 24689011135689 74067033407067 222201100221201