Search a number
-
+
13226200350 = 23521153151243
BaseRepresentation
bin11000101000101011…
…11100110100011110
31021010202102121000020
430110111330310132
5204041401402400
610024231213010
7645520563606
oct142425746436
937122377006
1013226200350
1156779330a0
122691517166
13132a20066c
148d680bc06
155262342a0
hex31457cd1e

13226200350 has 96 divisors (see below), whose sum is σ = 36458273664. Its totient is φ = 3145833600.

The previous prime is 13226200349. The next prime is 13226200397. The reversal of 13226200350 is 5300262231.

It is a super-4 number, since 4×132262003504 (a number of 42 digits) contains 4444 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13226200350.

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, 11829 + ... + 163071.

It is an arithmetic number, because the mean of its divisors is an integer number (379773684).

Almost surely, 213226200350 is an apocalyptic number.

13226200350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13226200350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229136832).

13226200350 is an abundant number, since it is smaller than the sum of its proper divisors (23232073314).

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

13226200350 is a wasteful number, since it uses less digits than its factorization.

13226200350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151322 (or 151317 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 13226200350 its reverse (5300262231), we get a palindrome (18526462581).

The spelling of 13226200350 in words is "thirteen billion, two hundred twenty-six million, two hundred thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 53 55 66 75 106 110 150 159 165 265 275 318 330 530 550 583 795 825 1166 1325 1590 1650 1749 2650 2915 3498 3975 5830 7950 8745 14575 17490 29150 43725 87450 151243 302486 453729 756215 907458 1512430 1663673 2268645 3327346 3781075 4537290 4991019 7562150 8015879 8318365 9982038 11343225 16031758 16636730 22686450 24047637 24955095 40079395 41591825 48095274 49910190 80158790 83183650 88174669 120238185 124775475 176349338 200396975 240476370 249550950 264524007 400793950 440873345 529048014 601190925 881746690 1202381850 1322620035 2204366725 2645240070 4408733450 6613100175 13226200350