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422133444 = 223423371531
BaseRepresentation
bin11001001010010…
…011111011000100
31002102022121020000
4121022103323010
51331031232234
6105515441300
713314034515
oct3112237304
91072277200
10422133444
111a7313117
12b9456230
13695c0b05
14400c6a0c
15270d6899
hex19293ec4

422133444 has 120 divisors (see below), whose sum is σ = 1183414848. Its totient is φ = 130870080.

The previous prime is 422133403. The next prime is 422133487. The reversal of 422133444 is 444331224.

It is a happy number.

422133444 is a `hidden beast` number, since 4 + 2 + 213 + 3 + 444 = 666.

It is a super-2 number, since 2×4221334442 = 356393289086602272, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 274959 + ... + 276489.

Almost surely, 2422133444 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 422133444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591707424).

422133444 is an abundant number, since it is smaller than the sum of its proper divisors (761281404).

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

422133444 is a wasteful number, since it uses less digits than its factorization.

422133444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1596 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 422133444 is about 20545.8863035889. The cubic root of 422133444 is about 750.1531207366.

Adding to 422133444 its reverse (444331224), we get a palindrome (866464668).

The spelling of 422133444 in words is "four hundred twenty-two million, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 37 46 54 69 74 81 92 108 111 138 148 162 207 222 276 324 333 414 444 621 666 828 851 999 1242 1332 1531 1702 1863 1998 2484 2553 2997 3062 3404 3726 3996 4593 5106 5994 6124 7452 7659 9186 10212 11988 13779 15318 18372 22977 27558 30636 35213 41337 45954 55116 56647 68931 70426 82674 91908 105639 113294 124011 137862 140852 165348 169941 211278 226588 248022 275724 316917 339882 422556 496044 509823 633834 679764 950751 1019646 1267668 1302881 1529469 1901502 2039292 2605762 2852253 3058938 3803004 3908643 4588407 5211524 5704506 6117876 7817286 9176814 11409012 11725929 15634572 18353628 23451858 35177787 46903716 70355574 105533361 140711148 211066722 422133444