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21333325 = 5213411601
BaseRepresentation
bin101000101100…
…0010101001101
31111010211211011
41101120111031
520430131300
62041125221
7346221166
oct121302515
944124734
1021333325
1111051052
127189811
13455c290
142b9476d
151d15eba
hex145854d

21333325 has 24 divisors (see below), whose sum is σ = 29201256. Its totient is φ = 15360000.

The previous prime is 21333271. The next prime is 21333329. The reversal of 21333325 is 52333312.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7695076 + 13638249 = 2774^2 + 3693^2 .

It is not a de Polignac number, because 21333325 - 27 = 21333197 is a prime.

It is a super-2 number, since 2×213333252 = 910221511111250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21333296 and 21333305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21333329) 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, 12525 + ... + 14125.

It is an arithmetic number, because the mean of its divisors is an integer number (1216719).

Almost surely, 221333325 is an apocalyptic number.

21333325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21333325 is a deficient number, since it is larger than the sum of its proper divisors (7867931).

21333325 is a wasteful number, since it uses less digits than its factorization.

21333325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1660 counting only the distinct ones).

The product of its digits is 1620, while the sum is 22.

The square root of 21333325 is about 4618.8012514071. The cubic root of 21333325 is about 277.3444736277.

Adding to 21333325 its reverse (52333312), we get a palindrome (73666637).

The spelling of 21333325 in words is "twenty-one million, three hundred thirty-three thousand, three hundred twenty-five".

Divisors: 1 5 13 25 41 65 205 325 533 1025 1601 2665 8005 13325 20813 40025 65641 104065 328205 520325 853333 1641025 4266665 21333325