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22105000602 = 234136450621
BaseRepresentation
bin10100100101100011…
…111000101010011010
32010001112110101020000
4110211203320222122
5330232340004402
614053242513430
71411532255616
oct244543705232
963045411200
1022105000602
119413773143
12434ab05876
132113826919
1410d9ab4346
1589596ec1c
hex5258f8a9a

22105000602 has 20 divisors (see below), whose sum is σ = 49531575786. Its totient is φ = 7368333480.

The previous prime is 22105000597. The next prime is 22105000607. The reversal of 22105000602 is 20600050122.

22105000602 is a `hidden beast` number, since 2 + 2 + 10 + 50 + 0 + 0 + 602 = 666.

It is an interprime number because it is at equal distance from previous prime (22105000597) and next prime (22105000607).

It can be written as a sum of positive squares in only one way, i.e., 21228781401 + 876219201 = 145701^2 + 29601^2 .

It is a super-2 number, since 2×221050006022 (a number of 21 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 (22105000607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 68225149 + ... + 68225472.

Almost surely, 222105000602 is an apocalyptic number.

22105000602 is an abundant number, since it is smaller than the sum of its proper divisors (27426575184).

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

22105000602 is a wasteful number, since it uses less digits than its factorization.

22105000602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136450635 (or 136450626 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 22105000602 its reverse (20600050122), we get a palindrome (42705050724).

The spelling of 22105000602 in words is "twenty-two billion, one hundred five million, six hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 162 136450621 272901242 409351863 818703726 1228055589 2456111178 3684166767 7368333534 11052500301 22105000602