Search a number
-
+
20310033222 = 23231435315971
BaseRepresentation
bin10010111010100100…
…101000001101000110
31221102102220120212200
4102322210220031012
5313043332030342
613155202255330
71316205301563
oct227244501506
957372816780
1020310033222
118682536626
123b29957546
131bb89a944b
14da954b86a
157dd0ac94c
hex4ba928346

20310033222 has 96 divisors (see below), whose sum is σ = 47360941056. Its totient is φ = 6278126400.

The previous prime is 20310033199. The next prime is 20310033239. The reversal of 20310033222 is 22233001302.

It is a happy number.

20310033222 is a `hidden beast` number, since 2 + 0 + 310 + 0 + 332 + 22 = 666.

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 = 20310033195 and 20310033204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263697 + ... + 1279667.

It is an arithmetic number, because the mean of its divisors is an integer number (493343136).

Almost surely, 220310033222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310033222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23680470528).

20310033222 is an abundant number, since it is smaller than the sum of its proper divisors (27050907834).

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

20310033222 is a wasteful number, since it uses less digits than its factorization.

20310033222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16106 (or 16103 counting only the distinct ones).

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

Adding to 20310033222 its reverse (22233001302), we get a palindrome (42543034524).

The spelling of 20310033222 in words is "twenty billion, three hundred ten million, thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 43 53 62 86 93 106 129 159 186 258 279 318 387 477 558 774 954 1333 1643 2279 2666 3286 3999 4558 4929 6837 7998 9858 11997 13674 14787 15971 20511 23994 29574 31942 41022 47913 70649 95826 141298 143739 211947 287478 423894 495101 635841 686753 846463 990202 1271682 1373506 1485303 1692926 2060259 2539389 2970606 4120518 4455909 5078778 6180777 7618167 8911818 12361554 15236334 21289343 26240353 36397909 42578686 52480706 63868029 72795818 78721059 109193727 127736058 157442118 191604087 218387454 236163177 327581181 383208174 472326354 655162362 1128335179 2256670358 3385005537 6770011074 10155016611 20310033222