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22033242 = 2337211757
BaseRepresentation
bin101010000001…
…1001101011010
31112110101221000
41110003031122
521120030432
62104125430
7355164600
oct124031532
945411830
1022033242
11114899a0
127466876
134745a2a
142cd7870
151e0357c
hex150335a

22033242 has 96 divisors (see below), whose sum is σ = 62216640. Its totient is φ = 5715360.

The previous prime is 22033237. The next prime is 22033267. The reversal of 22033242 is 24233022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28728 + ... + 29484.

It is an arithmetic number, because the mean of its divisors is an integer number (648090).

Almost surely, 222033242 is an apocalyptic number.

22033242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22033242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31108320).

22033242 is an abundant number, since it is smaller than the sum of its proper divisors (40183398).

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

22033242 is a wasteful number, since it uses less digits than its factorization.

22033242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 22033242 is about 4693.9580313420. The cubic root of 22033242 is about 280.3449914239.

Adding to 22033242 its reverse (24233022), we get a palindrome (46266264).

It can be divided in two parts, 2203 and 3242, that added together give a palindrome (5445).

The spelling of 22033242 in words is "twenty-two million, thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 757 882 1078 1323 1386 1514 1617 2079 2271 2646 3234 4158 4542 4851 5299 6813 8327 9702 10598 13626 14553 15897 16654 20439 24981 29106 31794 37093 40878 47691 49962 58289 74186 74943 95382 111279 116578 143073 149886 174867 222558 224829 286146 333837 349734 408023 449658 524601 667674 816046 1001511 1049202 1224069 1573803 2003022 2448138 3147606 3672207 7344414 11016621 22033242