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1422288 = 243271783
BaseRepresentation
bin101011011001111010000
32200021000100
411123033100
5331003123
650252400
715042420
oct5331720
92607010
101422288
1189164a
12587100
133aa4ba
14290480
151d1643
hex15b3d0

1422288 has 120 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 377856.

The previous prime is 1422287. The next prime is 1422293. The reversal of 1422288 is 8822241.

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 (1422287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17095 + ... + 17177.

21422288 is an apocalyptic number.

1422288 is a gapful number since it is divisible by the number (18) 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 1422288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344).

1422288 is an abundant number, since it is smaller than the sum of its proper divisors (3452400).

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

1422288 is a wasteful number, since it uses less digits than its factorization.

1422288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 1422288 is about 1192.5971658527. The cubic root of 1422288 is about 112.4594224029.

The spelling of 1422288 in words is "one million, four hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 83 84 102 112 119 126 136 144 153 166 168 204 238 249 252 272 306 332 336 357 408 476 498 504 581 612 664 714 747 816 952 996 1008 1071 1162 1224 1328 1411 1428 1494 1743 1904 1992 2142 2324 2448 2822 2856 2988 3486 3984 4233 4284 4648 5229 5644 5712 5976 6972 8466 8568 9296 9877 10458 11288 11952 12699 13944 16932 17136 19754 20916 22576 25398 27888 29631 33864 39508 41832 50796 59262 67728 79016 83664 88893 101592 118524 158032 177786 203184 237048 355572 474096 711144 1422288