Search a number
-
+
7222150721436 = 2237413433610843
BaseRepresentation
bin110100100011000100110…
…1110100110111110011100
3221120102122002201220021220
41221012021232212332130
51421311431041041221
623205451002253340
71343532425146050
oct151061156467634
927512562656256
107222150721436
11233499588a3a2
1298784b7b7250
13405079a8bb61
141ad7a80cdc60
15c7ce86250c6
hex69189ba6f9c

7222150721436 has 96 divisors (see below), whose sum is σ = 19734581088768. Its totient is φ = 2012553354240.

The previous prime is 7222150721431. The next prime is 7222150721447. The reversal of 7222150721436 is 6341270512227.

It is a super-2 number, since 2×72221507214362 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7222150721431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11517831 + ... + 12128673.

It is an arithmetic number, because the mean of its divisors is an integer number (205568553008).

Almost surely, 27222150721436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7222150721436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9867290544384).

7222150721436 is an abundant number, since it is smaller than the sum of its proper divisors (12512430367332).

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

7222150721436 is a wasteful number, since it uses less digits than its factorization.

7222150721436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614331 (or 614329 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 7222150721436 in words is "seven trillion, two hundred twenty-two billion, one hundred fifty million, seven hundred twenty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3433 3444 6866 10299 13732 20598 24031 41196 48062 72093 96124 140753 144186 281506 288372 422259 563012 610843 844518 985271 1221686 1689036 1832529 1970542 2443372 2955813 3665058 3941084 4275901 5911626 7330116 8551802 11823252 12827703 17103604 25044563 25655406 50089126 51310812 75133689 100178252 150267378 175311941 300534756 350623882 525935823 701247764 1051871646 2097024019 2103743292 4194048038 6291072057 8388096076 12582144114 14679168133 25164288228 29358336266 44037504399 58716672532 85977984779 88075008798 171955969558 176150017596 257933954337 343911939116 515867908674 601845893453 1031735817348 1203691786906 1805537680359 2407383573812 3611075360718 7222150721436