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22232332220 = 22572328124571
BaseRepresentation
bin10100101101001001…
…100111011110111100
32010101102001111100212
4110231021213132330
5331012434112340
614114032011552
71414636464050
oct245511473674
963342044325
1022232332220
11947963228a
124385690bb8
132134019987
14110c97bc60
158a1c22a65
hex52d2677bc

22232332220 has 96 divisors (see below), whose sum is σ = 55877907456. Its totient is φ = 7264857600.

The previous prime is 22232332219. The next prime is 22232332229. The reversal of 22232332220 is 2223323222.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22232332229) 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, 892535 + ... + 917105.

It is an arithmetic number, because the mean of its divisors is an integer number (582061536).

Almost surely, 222232332220 is an apocalyptic number.

22232332220 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 22232332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27938953728).

22232332220 is an abundant number, since it is smaller than the sum of its proper divisors (33645575236).

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

22232332220 is a wasteful number, since it uses less digits than its factorization.

22232332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24891 (or 24889 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 22232332220 its reverse (2223323222), we get a palindrome (24455655442).

The spelling of 22232332220 in words is "twenty-two billion, two hundred thirty-two million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 281 322 460 562 644 805 1124 1405 1610 1967 2810 3220 3934 5620 6463 7868 9835 12926 19670 24571 25852 32315 39340 45241 49142 64630 90482 98284 122855 129260 171997 180964 226205 245710 343994 452410 491420 565133 687988 859985 904820 1130266 1719970 2260532 2825665 3439940 3955931 5651330 6904451 7911862 11302660 13808902 15823724 19779655 27617804 34522255 39559310 48331157 69044510 79118620 96662314 138089020 158802373 193324628 241655785 317604746 483311570 635209492 794011865 966623140 1111616611 1588023730 2223233222 3176047460 4446466444 5558083055 11116166110 22232332220