Search a number
-
+
22227912 = 2333761241
BaseRepresentation
bin101010011001…
…0101111001000
31112211021222000
41110302233020
521142243122
62112231000
7356635260
oct124625710
945737860
1022227912
1111602183
12753b460
1347b3515
142d487a0
151e410ac
hex1532bc8

22227912 has 128 divisors (see below), whose sum is σ = 72019200. Its totient is φ = 6220800.

The previous prime is 22227911. The next prime is 22227917. The reversal of 22227912 is 21972222.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22227911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92112 + ... + 92352.

It is an arithmetic number, because the mean of its divisors is an integer number (562650).

Almost surely, 222227912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22227912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36009600).

22227912 is an abundant number, since it is smaller than the sum of its proper divisors (49791288).

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

22227912 is a wasteful number, since it uses less digits than its factorization.

22227912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 22227912 is about 4714.6486613533. The cubic root of 22227912 is about 281.1682144419.

The spelling of 22227912 in words is "twenty-two million, two hundred twenty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 241 244 252 366 378 427 482 488 504 549 723 732 756 854 964 1098 1281 1446 1464 1512 1647 1687 1708 1928 2169 2196 2562 2892 3294 3374 3416 3843 4338 4392 5061 5124 5784 6507 6588 6748 7686 8676 10122 10248 11529 13014 13176 13496 14701 15183 15372 17352 20244 23058 26028 29402 30366 30744 40488 44103 45549 46116 52056 58804 60732 88206 91098 92232 102907 117608 121464 132309 176412 182196 205814 264618 308721 352824 364392 396927 411628 529236 617442 793854 823256 926163 1058472 1234884 1587708 1852326 2469768 2778489 3175416 3704652 5556978 7409304 11113956 22227912