Search a number
-
+
22035050334 = 23211221434721
BaseRepresentation
bin10100100001011001…
…000010111101011110
32002212122211112111100
4110201121002331132
5330111433102314
614042303333530
71410022560153
oct244131027536
962778745440
1022035050334
119388236500
12432b5b12a6
1321021a492b
1410d06a622a
1588e753c09
hex521642f5e

22035050334 has 72 divisors (see below), whose sum is σ = 52513022016. Its totient is φ = 6672758400.

The previous prime is 22035050267. The next prime is 22035050339. The reversal of 22035050334 is 43305053022.

It is a junction number, because it is equal to n+sod(n) for n = 22035050298 and 22035050307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22035050339) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4665094 + ... + 4669814.

It is an arithmetic number, because the mean of its divisors is an integer number (729347528).

Almost surely, 222035050334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22035050334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26256511008).

22035050334 is an abundant number, since it is smaller than the sum of its proper divisors (30477971682).

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

22035050334 is a wasteful number, since it uses less digits than its factorization.

22035050334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The spelling of 22035050334 in words is "twenty-two billion, thirty-five million, fifty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2143 2178 4286 4721 6429 9442 12858 14163 19287 23573 28326 38574 42489 47146 51931 70719 84978 103862 141438 155793 212157 259303 311586 424314 467379 518606 571241 777909 934758 1142482 1555818 1713723 2333727 3427446 4667454 5141169 10117103 10282338 20234206 30351309 60702618 91053927 111288133 182107854 222576266 333864399 667728798 1001593197 1224169463 2003186394 2448338926 3672508389 7345016778 11017525167 22035050334