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22820013 = 322987433
BaseRepresentation
bin101011100001…
…1010010101101
31120221101011200
41113003102231
521320220023
62133040113
7364652436
oct127032255
946841150
1022820013
1111977017
127786039
13495cb88
14306048d
15200b743
hex15c34ad

22820013 has 12 divisors (see below), whose sum is σ = 34099260. Its totient is φ = 14688576.

The previous prime is 22819991. The next prime is 22820023. The reversal of 22820013 is 31002822.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15350724 + 7469289 = 3918^2 + 2733^2 .

It is not a de Polignac number, because 22820013 - 25 = 22819981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22820023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43456 + ... + 43977.

It is an arithmetic number, because the mean of its divisors is an integer number (2841605).

Almost surely, 222820013 is an apocalyptic number.

It is an amenable number.

22820013 is a deficient number, since it is larger than the sum of its proper divisors (11279247).

22820013 is a wasteful number, since it uses less digits than its factorization.

22820013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87468 (or 87465 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22820013 is about 4777.0297256768. The cubic root of 22820013 is about 283.6429297106.

Adding to 22820013 its reverse (31002822), we get a palindrome (53822835).

The spelling of 22820013 in words is "twenty-two million, eight hundred twenty thousand, thirteen".

Divisors: 1 3 9 29 87 261 87433 262299 786897 2535557 7606671 22820013