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422121224 = 23716745137
BaseRepresentation
bin11001001010010…
…000111100001000
31002102021222110102
4121022100330020
51331030334344
6105515304532
713313654060
oct3112207410
91072258412
10422121224
111a7304a18
12b944b148
13695b8395
14400c23a0
15270d2e4e
hex19290f08

422121224 has 32 divisors (see below), whose sum is σ = 909982080. Its totient is φ = 179821824.

The previous prime is 422121221. The next prime is 422121229.

422121224 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 422121196 and 422121205.

It is not an unprimeable number, because it can be changed into a prime (422121221) 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 7 ways as a sum of consecutive naturals, for example, 13217 + ... + 31920.

It is an arithmetic number, because the mean of its divisors is an integer number (28436940).

Almost surely, 2422121224 is an apocalyptic number.

It is an amenable number.

422121224 is an abundant number, since it is smaller than the sum of its proper divisors (487860856).

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

422121224 is a wasteful number, since it uses less digits than its factorization.

422121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45317 (or 45313 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 422121224 is about 20545.5889183056. The cubic root of 422121224 is about 750.1458821412.

The spelling of 422121224 in words is "four hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 167 334 668 1169 1336 2338 4676 9352 45137 90274 180548 315959 361096 631918 1263836 2527672 7537879 15075758 30151516 52765153 60303032 105530306 211060612 422121224