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22354030050 = 23521122353549
BaseRepresentation
bin10100110100011001…
…110110110111100010
32010200220001101101220
4110310121312313202
5331240112430200
614134100235510
71420645056162
oct246431666742
963626041356
1022354030050
1195312a3700
1243ba39bb96
1321532b9621
141120bba5a2
158ac7614a0
hex534676de2

22354030050 has 144 divisors (see below), whose sum is σ = 63586555200. Its totient is φ = 5183446400.

The previous prime is 22354030021. The next prime is 22354030051. The reversal of 22354030050 is 5003045322.

It is a self number, because there is not a number n which added to its sum of digits gives 22354030050.

It is not an unprimeable number, because it can be changed into a prime (22354030051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390676 + ... + 444224.

It is an arithmetic number, because the mean of its divisors is an integer number (441573300).

Almost surely, 222354030050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22354030050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31793277600).

22354030050 is an abundant number, since it is smaller than the sum of its proper divisors (41232525150).

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

22354030050 is a wasteful number, since it uses less digits than its factorization.

22354030050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53609 (or 53593 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 22354030050 its reverse (5003045322), we get a palindrome (27357075372).

The spelling of 22354030050 in words is "twenty-two billion, three hundred fifty-four million, thirty thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 69 75 110 115 121 138 150 165 230 242 253 275 330 345 363 506 550 575 605 690 726 759 825 1150 1210 1265 1518 1650 1725 1815 2530 2783 3025 3450 3630 3795 5566 6050 6325 7590 8349 9075 12650 13915 16698 18150 18975 27830 37950 41745 53549 69575 83490 107098 139150 160647 208725 267745 321294 417450 535490 589039 803235 1178078 1231627 1338725 1606470 1767117 2463254 2677450 2945195 3534234 3694881 4016175 5890390 6158135 6479429 7389762 8032350 8835585 12316270 12958858 13547897 14725975 17671170 18474405 19438287 27095794 29451950 30790675 32397145 36948810 38876574 40643691 44177925 61581350 64794290 67739485 81287382 88355850 92372025 97191435 135478970 149026867 161985725 184744050 194382870 203218455 298053734 323971450 338697425 406436910 447080601 485957175 677394850 745134335 894161202 971914350 1016092275 1490268670 2032184550 2235403005 3725671675 4470806010 7451343350 11177015025 22354030050