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220426452 = 223219731081
BaseRepresentation
bin11010010001101…
…11000011010100
3120100202211020200
431020313003110
5422412121302
633512300500
75314410501
oct1510670324
9510684220
10220426452
11103474724
12619a1730
133688986c
14213bc4a8
151454181c
hexd2370d4

220426452 has 36 divisors (see below), whose sum is σ = 560035476. Its totient is φ = 73100160.

The previous prime is 220426433. The next prime is 220426463. The reversal of 220426452 is 254624022.

It is a happy number.

220426452 is a `hidden beast` number, since 2 + 204 + 2 + 6 + 452 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156650256 + 63776196 = 12516^2 + 7986^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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, 8449 + ... + 22632.

It is an arithmetic number, because the mean of its divisors is an integer number (15556541).

Almost surely, 2220426452 is an apocalyptic number.

It is an amenable number.

220426452 is an abundant number, since it is smaller than the sum of its proper divisors (339609024).

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

220426452 is a wasteful number, since it uses less digits than its factorization.

220426452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31288 (or 31283 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 220426452 is about 14846.7657083959. The cubic root of 220426452 is about 604.0708840394.

The spelling of 220426452 in words is "two hundred twenty million, four hundred twenty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 7092 31081 62162 93243 124324 186486 279729 372972 559458 1118916 6122957 12245914 18368871 24491828 36737742 55106613 73475484 110213226 220426452