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22482216 = 2332312253
BaseRepresentation
bin101010111000…
…0110100101000
31120022012210200
41111300310220
521223412331
62121512200
7362044551
oct125606450
946265720
1022482216
1111766249
127642660
1348721b3
142db3328
151e915e6
hex1570d28

22482216 has 24 divisors (see below), whose sum is σ = 60889530. Its totient is φ = 7494048.

The previous prime is 22482181. The next prime is 22482233. The reversal of 22482216 is 61228422.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22184100 + 298116 = 4710^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22482216.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 156055 + ... + 156198.

Almost surely, 222482216 is an apocalyptic number.

It is an amenable number.

22482216 is an abundant number, since it is smaller than the sum of its proper divisors (38407314).

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

22482216 is a wasteful number, since it uses less digits than its factorization.

22482216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312265 (or 312258 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 22482216 is about 4741.5415214886. The cubic root of 22482216 is about 282.2364095715.

The spelling of 22482216 in words is "twenty-two million, four hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 312253 624506 936759 1249012 1873518 2498024 2810277 3747036 5620554 7494072 11241108 22482216