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22031022 = 231341832
BaseRepresentation
bin101010000001…
…0101010101110
31112110021212210
41110002222232
521114443042
62104111250
7355155246
oct124025256
945407783
1022031022
1111488262
127465526
134744a10
142cd6b26
151e02a9c
hex1502aae

22031022 has 48 divisors (see below), whose sum is σ = 49201488. Its totient is φ = 6533760.

The previous prime is 22031017. The next prime is 22031027. The reversal of 22031022 is 22013022.

It is an interprime number because it is at equal distance from previous prime (22031017) and next prime (22031027).

It is a junction number, because it is equal to n+sod(n) for n = 22030989 and 22031007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22031027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265393 + ... + 265475.

It is an arithmetic number, because the mean of its divisors is an integer number (1025031).

Almost surely, 222031022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22031022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24600744).

22031022 is an abundant number, since it is smaller than the sum of its proper divisors (27170466).

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

22031022 is a wasteful number, since it uses less digits than its factorization.

22031022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22031022 is about 4693.7215511788. The cubic root of 22031022 is about 280.3355755485.

Adding to 22031022 its reverse (22013022), we get a palindrome (44044044).

The spelling of 22031022 in words is "twenty-two million, thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 83 123 166 246 249 498 533 1066 1079 1599 2158 3198 3237 3403 6474 6806 6889 10209 13778 20418 20667 41334 44239 88478 89557 132717 179114 265434 268671 282449 537342 564898 847347 1694694 3671837 7343674 11015511 22031022