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422444232 = 233276911213
BaseRepresentation
bin11001001011011…
…111110011001000
31002102220101112200
4121023133303020
51331121203412
6105530240200
713316500560
oct3113376310
91072811480
10422444232
111a7505671
12b9586060
136969c402
1440167da0
15271489dc
hex192dfcc8

422444232 has 96 divisors (see below), whose sum is σ = 1310537280. Its totient is φ = 120424320.

The previous prime is 422444227. The next prime is 422444257. The reversal of 422444232 is 232444224.

422444232 is a `hidden beast` number, since 422 + 4 + 4 + 4 + 232 = 666.

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 = 422444196 and 422444205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347658 + ... + 348870.

It is an arithmetic number, because the mean of its divisors is an integer number (13651430).

Almost surely, 2422444232 is an apocalyptic number.

422444232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422444232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655268640).

422444232 is an abundant number, since it is smaller than the sum of its proper divisors (888093048).

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

422444232 is a wasteful number, since it uses less digits than its factorization.

422444232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1916 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 422444232 is about 20553.4481778606. The cubic root of 422444232 is about 750.3371710648.

Adding to 422444232 its reverse (232444224), we get a palindrome (654888456).

The spelling of 422444232 in words is "four hundred twenty-two million, four hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 691 1213 1382 2073 2426 2764 3639 4146 4837 4852 5528 6219 7278 8292 8491 9674 9704 10917 12438 14511 14556 16584 16982 19348 21834 24876 25473 29022 29112 33964 38696 43533 43668 49752 50946 58044 67928 76419 87066 87336 101892 116088 152838 174132 203784 305676 348264 611352 838183 1676366 2514549 3352732 5029098 5867281 6705464 7543647 10058196 11734562 15087294 17601843 20116392 23469124 30174588 35203686 46938248 52805529 60349176 70407372 105611058 140814744 211222116 422444232