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2033240022 = 2331147671087
BaseRepresentation
bin111100100110000…
…1100011111010110
312020200220021222000
41321030030133112
513131002140042
6533431220130
7101246153322
oct17114143726
95220807860
102033240022
11953790360
12488b17646
13265315008
1415406c982
15bd77b74c
hex7930c7d6

2033240022 has 128 divisors (see below), whose sum is σ = 5113774080. Its totient is φ = 593477280.

The previous prime is 2033240009. The next prime is 2033240051. The reversal of 2033240022 is 2200423302.

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

It is a junction number, because it is equal to n+sod(n) for n = 2033239977 and 2033240004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1869963 + ... + 1871049.

It is an arithmetic number, because the mean of its divisors is an integer number (39951360).

Almost surely, 22033240022 is an apocalyptic number.

2033240022 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 2033240022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556887040).

2033240022 is an abundant number, since it is smaller than the sum of its proper divisors (3080534058).

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

2033240022 is a wasteful number, since it uses less digits than its factorization.

2033240022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

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

The square root of 2033240022 is about 45091.4628505219. The cubic root of 2033240022 is about 1266.8627012229.

Adding to 2033240022 its reverse (2200423302), we get a palindrome (4233663324).

The spelling of 2033240022 in words is "two billion, thirty-three million, two hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 67 94 99 134 141 198 201 282 297 402 423 517 594 603 737 846 1034 1087 1206 1269 1474 1551 1809 2174 2211 2538 3102 3149 3261 3618 4422 4653 6298 6522 6633 9306 9447 9783 11957 13266 13959 18894 19566 19899 23914 27918 28341 29349 34639 35871 39798 51089 56682 58698 69278 71742 72829 85023 102178 103917 107613 145658 153267 170046 207834 215226 218487 306534 311751 322839 436974 459801 561979 623502 645678 655461 801119 919602 935253 1123958 1310922 1379403 1602238 1685937 1870506 1966383 2403357 2758806 3371874 3422963 3932766 4806714 5057811 6845926 7210071 10115622 10268889 14420142 15173433 20537778 21630213 30346866 30806667 37652593 43260426 61613334 75305186 92420001 112957779 184840002 225915558 338873337 677746674 1016620011 2033240022