Search a number
-
+
22203303120 = 2433515536619
BaseRepresentation
bin10100101011011010…
…111000010011010000
32010022101102122221000
4110223122320103100
5330433021144440
614111113502000
71414134651105
oct245332702320
963271378830
1022203303120
119464205299
124377a11900
13212acc48ab
141108b82aac
1589e3db730
hex52b6b84d0

22203303120 has 160 divisors (see below), whose sum is σ = 76538851200. Its totient is φ = 5916174336.

The previous prime is 22203303113. The next prime is 22203303127. The reversal of 22203303120 is 2130330222.

It is a happy number.

22203303120 is a `hidden beast` number, since 2 + 2 + 20 + 330 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22203303113) and next prime (22203303127).

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 = 22203303093 and 22203303102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22203303127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3351171 + ... + 3357789.

It is an arithmetic number, because the mean of its divisors is an integer number (478367820).

Almost surely, 222203303120 is an apocalyptic number.

22203303120 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 22203303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38269425600).

22203303120 is an abundant number, since it is smaller than the sum of its proper divisors (54335548080).

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

22203303120 is a wasteful number, since it uses less digits than its factorization.

22203303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194 (or 8182 counting only the distinct ones).

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

Adding to 22203303120 its reverse (2130330222), we get a palindrome (24333633342).

The spelling of 22203303120 in words is "twenty-two billion, two hundred three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1553 2160 3106 4659 6212 6619 7765 9318 12424 13238 13977 15530 18636 19857 23295 24848 26476 27954 31060 33095 37272 39714 41931 46590 52952 55908 59571 62120 66190 69885 74544 79428 83862 93180 99285 105904 111816 119142 124240 132380 139770 158856 167724 178713 186360 198570 209655 223632 238284 264760 279540 297855 317712 335448 357426 372720 397140 419310 476568 529520 559080 595710 670896 714852 794280 838620 893565 953136 1118160 1191420 1429704 1588560 1677240 1787130 2382840 2859408 3354480 3574260 4765680 7148520 10279307 14297040 20558614 30837921 41117228 51396535 61675842 82234456 92513763 102793070 123351684 154189605 164468912 185027526 205586140 246703368 277541289 308379210 370055052 411172280 462568815 493406736 555082578 616758420 740110104 822344560 925137630 1110165156 1233516840 1387706445 1480220208 1850275260 2220330312 2467033680 2775412890 3700550520 4440660624 5550825780 7401101040 11101651560 22203303120