Search a number
-
+
22210222200 = 23352239154883
BaseRepresentation
bin10100101011110101…
…010001100001111000
32010022212110012010020
4110223311101201320
5330441304102300
614111522050440
71414250526255
oct245365214170
963285405106
1022210222200
119468100741
12437a1a9a20
13212c57801a
141109a6442c
1589ed068a0
hex52bd51878

22210222200 has 96 divisors (see below), whose sum is σ = 69140217600. Its totient is φ = 5897906560.

The previous prime is 22210222189. The next prime is 22210222213. The reversal of 22210222200 is 222201222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22210222200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65959 + ... + 220841.

It is an arithmetic number, because the mean of its divisors is an integer number (720210600).

Almost surely, 222210222200 is an apocalyptic number.

22210222200 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 22210222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34570108800).

22210222200 is an abundant number, since it is smaller than the sum of its proper divisors (46929995400).

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

22210222200 is a wasteful number, since it uses less digits than its factorization.

22210222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155141 (or 155132 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22210222200 its reverse (222201222), we get a palindrome (22432423422).

It can be divided in two parts, 2221022 and 2200, that added together give a palindrome (2223222).

The spelling of 22210222200 in words is "twenty-two billion, two hundred ten million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 239 300 478 600 717 956 1195 1434 1912 2390 2868 3585 4780 5736 5975 7170 9560 11950 14340 17925 23900 28680 35850 47800 71700 143400 154883 309766 464649 619532 774415 929298 1239064 1548830 1858596 2323245 3097660 3717192 3872075 4646490 6195320 7744150 9292980 11616225 15488300 18585960 23232450 30976600 37017037 46464900 74034074 92929800 111051111 148068148 185085185 222102222 296136296 370170370 444204444 555255555 740340740 888408888 925425925 1110511110 1480681480 1850851850 2221022220 2776277775 3701703700 4442044440 5552555550 7403407400 11105111100 22210222200