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22233004220 = 22572593171213
BaseRepresentation
bin10100101101001100…
…001011100010111100
32010101110022122011202
4110231030023202330
5331013122113340
614114054235032
71414645263200
oct245514134274
963343278152
1022233004220
119479a51159
124385955a78
1321341c37cb
14110cab4b00
158a1d06c15
hex52d30b8bc

22233004220 has 144 divisors (see below), whose sum is σ = 55452509280. Its totient is φ = 7463748096.

The previous prime is 22233004217. The next prime is 22233004253. The reversal of 22233004220 is 2240033222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22233004192 and 22233004201.

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 47 ways as a sum of consecutive naturals, for example, 18328334 + ... + 18329546.

It is an arithmetic number, because the mean of its divisors is an integer number (385086870).

Almost surely, 222233004220 is an apocalyptic number.

22233004220 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 22233004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27726254640).

22233004220 is an abundant number, since it is smaller than the sum of its proper divisors (33219505060).

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

22233004220 is a wasteful number, since it uses less digits than its factorization.

22233004220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22233004220 its reverse (2240033222), we get a palindrome (24473037442).

The spelling of 22233004220 in words is "twenty-two billion, two hundred thirty-three million, four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 236 245 295 317 413 490 590 634 826 980 1180 1213 1268 1585 1652 2065 2219 2426 2891 3170 4130 4438 4852 5782 6065 6340 8260 8491 8876 11095 11564 12130 14455 15533 16982 18703 22190 24260 28910 31066 33964 37406 42455 44380 57820 59437 62132 71567 74812 77665 84910 93515 118874 130921 143134 155330 169820 187030 237748 261842 286268 297185 310660 357835 374060 384521 500969 523684 594370 654605 715670 769042 916447 1001938 1188740 1309210 1431340 1538084 1832894 1922605 2003876 2504845 2618420 2691647 3506783 3665788 3845210 4582235 5009690 5383294 7013566 7690420 9164470 10019380 10766588 13458235 14027132 17533915 18328940 18841529 22686739 26916470 35067830 37683058 45373478 53832940 70135660 75366116 90746956 94207645 113433695 158807173 188415290 226867390 317614346 376830580 453734780 635228692 794035865 1111650211 1588071730 2223300422 3176143460 4446600844 5558251055 11116502110 22233004220