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22200224442 = 2311379419661
BaseRepresentation
bin10100101011001111…
…001000101010111010
32010022011122020202220
4110223033020222322
5330431224140232
614110523504510
71414066536264
oct245317105272
963264566686
1022200224442
1194624a2230
124376988136
13212a4874a6
1411085c0b34
1589dece42c
hex52b3c8aba

22200224442 has 64 divisors (see below), whose sum is σ = 49803977088. Its totient is φ = 6537888000.

The previous prime is 22200224441. The next prime is 22200224561. The reversal of 22200224442 is 24442200222.

It is a super-2 number, since 2×222002244422 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22200224441) 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, 2293092 + ... + 2302752.

It is an arithmetic number, because the mean of its divisors is an integer number (778187142).

Almost surely, 222200224442 is an apocalyptic number.

22200224442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200224442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24901988544).

22200224442 is an abundant number, since it is smaller than the sum of its proper divisors (27603752646).

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

22200224442 is a wasteful number, since it uses less digits than its factorization.

22200224442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10655.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22200224442 its reverse (24442200222), we get a palindrome (46642424664).

It can be divided in two parts, 22200 and 224442, that added together give a palindrome (246642).

The spelling of 22200224442 in words is "twenty-two billion, two hundred million, two hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 941 1221 1882 2442 2823 5646 9661 10351 19322 20702 28983 31053 34817 57966 62106 69634 104451 106271 208902 212542 318813 357457 382987 637626 714914 765974 1072371 1148961 2144742 2297922 3932027 7864054 9091001 11796081 18182002 23592162 27273003 54546006 100001011 200002022 300003033 336367037 600006066 672734074 1009101111 2018202222 3700037407 7400074814 11100112221 22200224442