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22212829 = 172101761
BaseRepresentation
bin101010010111…
…1000011011101
31112210112021101
41110233003131
521141302304
62112033101
7356543302
oct124570335
945715241
1022212829
11115a1911
127532791
1347a96b2
142d430a9
151e3b8a4
hex152f0dd

22212829 has 12 divisors (see below), whose sum is σ = 23861268. Its totient is φ = 20672000.

The previous prime is 22212823. The next prime is 22212859. The reversal of 22212829 is 92821222.

It can be written as a sum of positive squares in 6 ways, for example, as 1071225 + 21141604 = 1035^2 + 4598^2 .

It is not a de Polignac number, because 22212829 - 23 = 22212821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22212797 and 22212806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212821) 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, 28809 + ... + 29569.

It is an arithmetic number, because the mean of its divisors is an integer number (1988439).

Almost surely, 222212829 is an apocalyptic number.

It is an amenable number.

22212829 is a deficient number, since it is larger than the sum of its proper divisors (1648439).

22212829 is a wasteful number, since it uses less digits than its factorization.

22212829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 879 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 22212829 is about 4713.0488009355. The cubic root of 22212829 is about 281.1046034323.

It can be divided in two parts, 2221 and 2829, that added together give a triangular number (5050 = T100).

The spelling of 22212829 in words is "twenty-two million, two hundred twelve thousand, eight hundred twenty-nine".

Divisors: 1 17 101 289 761 1717 12937 29189 76861 219929 1306637 22212829