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422000224 = 2574317749
BaseRepresentation
bin11001001001110…
…011011001100000
31002102001211110221
4121021303121200
51331013001344
6105512532424
713312641232
oct3111633140
91072054427
10422000224
111a7232018
12b93b1114
1369575299
1440090252
15270ac184
hex19273660

422000224 has 24 divisors (see below), whose sum is σ = 831978000. Its totient is φ = 210704256.

The previous prime is 422000221. The next prime is 422000269.

422000224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 422000198 and 422000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422000221) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 14902 + ... + 32650.

It is an arithmetic number, because the mean of its divisors is an integer number (34665750).

Almost surely, 2422000224 is an apocalyptic number.

It is an amenable number.

422000224 is a deficient number, since it is larger than the sum of its proper divisors (409977776).

422000224 is a wasteful number, since it uses less digits than its factorization.

422000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18502 (or 18494 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 422000224 is about 20542.6440362481. The cubic root of 422000224 is about 750.0741994738.

It can be divided in two parts, 422000 and 224, that added together give a palindrome (422224).

The spelling of 422000224 in words is "four hundred twenty-two million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 743 1486 2972 5944 11888 17749 23776 35498 70996 141992 283984 567968 13187507 26375014 52750028 105500056 211000112 422000224