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122253821 = 296169109
BaseRepresentation
bin1110100100101…
…11000111111101
322112001010201022
413102113013331
5222244110241
620044153525
73013066064
oct722270775
9275033638
10122253821
1163011118
1234b388a5
131c435a51
14123451db
15aaed54b
hex74971fd

122253821 has 8 divisors (see below), whose sum is σ = 128544600. Its totient is φ = 116101440.

The previous prime is 122253811. The next prime is 122253823. The reversal of 122253821 is 128352221.

It can be written as a sum of positive squares in 4 ways, for example, as 2592100 + 119661721 = 1610^2 + 10939^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122253821 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122253823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32786 + ... + 36323.

It is an arithmetic number, because the mean of its divisors is an integer number (16068075).

Almost surely, 2122253821 is an apocalyptic number.

It is an amenable number.

122253821 is a deficient number, since it is larger than the sum of its proper divisors (6290779).

122253821 is an equidigital number, since it uses as much as digits as its factorization.

122253821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69199.

The product of its digits is 1920, while the sum is 26.

The square root of 122253821 is about 11056.8449839907. The cubic root of 122253821 is about 496.3112816351.

The spelling of 122253821 in words is "one hundred twenty-two million, two hundred fifty-three thousand, eight hundred twenty-one".

Divisors: 1 29 61 1769 69109 2004161 4215649 122253821