Search a number
-
+
30033120222 = 2347198091723
BaseRepresentation
bin11011111110000111…
…010000101111011110
32212112001121120210000
4123332013100233132
5443001434321342
621444053555130
72112151211160
oct337607205736
985461546700
1030033120222
1111811a05816
1259a2045aa6
132aa81c0371
14164c9ca930
15bab9bc44c
hex6fe1d0bde

30033120222 has 160 divisors (see below), whose sum is σ = 81105235200. Its totient is φ = 8114504832.

The previous prime is 30033120211. The next prime is 30033120259. The reversal of 30033120222 is 22202133003.

It is a happy number.

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 = 30033120195 and 30033120204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17429853 + ... + 17431575.

It is an arithmetic number, because the mean of its divisors is an integer number (506907720).

Almost surely, 230033120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30033120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40552617600).

30033120222 is an abundant number, since it is smaller than the sum of its proper divisors (51072114978).

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

30033120222 is a wasteful number, since it uses less digits than its factorization.

30033120222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30033120222 its reverse (22202133003), we get a palindrome (52235253225).

The spelling of 30033120222 in words is "thirty billion, thirty-three million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 809 1026 1134 1197 1539 1618 1723 2394 2427 3078 3446 3591 4854 5169 5663 7182 7281 10338 10773 11326 12061 14562 15371 15507 16989 21546 21843 24122 30742 31014 32737 33978 36183 43686 46113 46521 50967 65474 65529 72366 92226 93042 98211 101934 107597 108549 131058 138339 139563 152901 196422 215194 217098 229159 276678 279126 294633 305802 322791 325647 415017 458318 458703 589266 645582 651294 687477 830034 883899 917406 968373 976941 1245051 1374954 1393907 1767798 1936746 1953882 2062431 2490102 2651697 2787814 2905119 4124862 4181721 5303394 5810238 6187293 8363442 8715357 9757349 12374586 12545163 17430714 18561879 19514698 25090326 26484233 29272047 37123758 37635489 52968466 58544094 75270978 79452699 87816141 112906467 158905398 175632282 185389631 225812934 238358097 263448423 370779262 476716194 526896846 556168893 715074291 790345269 1112337786 1430148582 1580690538 1668506679 2145222873 3337013358 4290445746 5005520037 10011040074 15016560111 30033120222