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22313021 = 1011731277
BaseRepresentation
bin101010100011…
…1100000111101
31112222121201012
41111013200331
521203004041
62114125005
7360441353
oct125074075
945877635
1022313021
1111660115
127580765
134813193
142d6b7d3
151e5b3eb
hex154783d

22313021 has 8 divisors (see below), whose sum is σ = 22681944. Its totient is φ = 21947200.

The previous prime is 22313017. The next prime is 22313023. The reversal of 22313021 is 12031322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15912121 + 6400900 = 3989^2 + 2530^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22313021 - 22 = 22313017 is a prime.

It is a super-3 number, since 3×223130213 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22312987 and 22313005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313023) 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 7 ways as a sum of consecutive naturals, for example, 16835 + ... + 18111.

It is an arithmetic number, because the mean of its divisors is an integer number (2835243).

Almost surely, 222313021 is an apocalyptic number.

It is an amenable number.

22313021 is a deficient number, since it is larger than the sum of its proper divisors (368923).

22313021 is a wasteful number, since it uses less digits than its factorization.

22313021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 22313021 is about 4723.6660550890. Note that the first 3 decimals coincide. The cubic root of 22313021 is about 281.5266147027.

Adding to 22313021 its reverse (12031322), we get a palindrome (34344343).

The spelling of 22313021 in words is "twenty-two million, three hundred thirteen thousand, twenty-one".

Divisors: 1 101 173 1277 17473 128977 220921 22313021