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422883072 = 2833193317
BaseRepresentation
bin11001001101001…
…010111100000000
31002110201200112000
4121031022330000
51331224224242
6105543504000
713323306153
oct3115127400
91073650460
10422883072
111a7785347
12b9758000
13697c4091
144023dc9a
15271d3a4c
hex1934af00

422883072 has 144 divisors (see below), whose sum is σ = 1260984480. Its totient is φ = 139788288.

The previous prime is 422883053. The next prime is 422883073. The reversal of 422883072 is 270388224.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422883073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333858 + ... + 1334174.

Almost surely, 2422883072 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 422883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630492240).

422883072 is an abundant number, since it is smaller than the sum of its proper divisors (838101408).

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

422883072 is a wasteful number, since it uses less digits than its factorization.

422883072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 422883072 is about 20564.1209877787. The cubic root of 422883072 is about 750.5969008199.

The spelling of 422883072 in words is "four hundred twenty-two million, eight hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 193 216 256 288 317 384 386 432 576 579 634 768 772 864 951 1152 1158 1268 1544 1728 1737 1902 2304 2316 2536 2853 3088 3456 3474 3804 4632 5072 5211 5706 6176 6912 6948 7608 8559 9264 10144 10422 11412 12352 13896 15216 17118 18528 20288 20844 22824 24704 27792 30432 34236 37056 40576 41688 45648 49408 55584 60864 61181 68472 74112 81152 83376 91296 111168 121728 122362 136944 148224 166752 182592 183543 222336 243456 244724 273888 333504 365184 367086 444672 489448 547776 550629 667008 730368 734172 978896 1095552 1101258 1334016 1468344 1651887 1957792 2191104 2202516 2936688 3303774 3915584 4405032 5873376 6607548 7831168 8810064 11746752 13215096 15662336 17620128 23493504 26430192 35240256 46987008 52860384 70480512 105720768 140961024 211441536 422883072