Search a number
-
+
22230101300 = 225211432631787
BaseRepresentation
bin10100101101000001…
…000110110100110100
32010101020212011010012
4110231001012310310
5331011401220200
614113512115352
71414611512651
oct245501066464
963336764105
1022230101300
119478349150
124384995b58
1321337183c4
14110c55ac28
158a1931a35
hex52d046d34

22230101300 has 144 divisors (see below), whose sum is σ = 54083538432. Its totient is φ = 7861257600.

The previous prime is 22230101287. The next prime is 22230101303. The reversal of 22230101300 is 310103222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230101303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12439007 + ... + 12440793.

It is an arithmetic number, because the mean of its divisors is an integer number (375580128).

Almost surely, 222230101300 is an apocalyptic number.

22230101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27041769216).

22230101300 is an abundant number, since it is smaller than the sum of its proper divisors (31853437132).

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

22230101300 is a wasteful number, since it uses less digits than its factorization.

22230101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 22230101300 its reverse (310103222), we get a palindrome (22540204522).

The spelling of 22230101300 in words is "twenty-two billion, two hundred thirty million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 263 275 430 473 526 550 860 946 1052 1075 1100 1315 1787 1892 2150 2365 2630 2893 3574 4300 4730 5260 5786 6575 7148 8935 9460 11309 11572 11825 13150 14465 17870 19657 22618 23650 26300 28930 35740 39314 44675 45236 47300 56545 57860 72325 76841 78628 89350 98285 113090 124399 144650 153682 178700 196570 226180 248798 282725 289300 307364 384205 393140 469981 491425 497596 565450 621995 768410 845251 939962 982850 1130900 1243990 1536820 1690502 1879924 1921025 1965700 2349905 2487980 3109975 3381004 3842050 4226255 4699810 5169791 6219950 7684100 8452510 9399620 10339582 11749525 12439900 16905020 20209183 20679164 21131275 23499050 25848955 40418366 42262550 46998100 51697910 80836732 84525100 101045915 103395820 129244775 202091830 222301013 258489550 404183660 444602026 505229575 516979100 889204052 1010459150 1111505065 2020918300 2223010130 4446020260 5557525325 11115050650 22230101300