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22028461800 = 23352193119013
BaseRepresentation
bin10100100000111111…
…111010011011101000
32002212012102210201120
4110200333322123220
5330103241234200
614041510215240
71406612556462
oct244077723350
962765383646
1022028461800
119384546434
124329354520
132100a08aa7
1410cd86d132
1588dda19a0
hex520ffa6e8

22028461800 has 96 divisors (see below), whose sum is σ = 68327189280. Its totient is φ = 5870905600.

The previous prime is 22028461759. The next prime is 22028461801. The reversal of 22028461800 is 816482022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22028461801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149094 + ... + 1168106.

It is an arithmetic number, because the mean of its divisors is an integer number (711741555).

Almost surely, 222028461800 is an apocalyptic number.

22028461800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22028461800 is an abundant number, since it is smaller than the sum of its proper divisors (46298727480).

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

22028461800 is a wasteful number, since it uses less digits than its factorization.

22028461800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20963 (or 20954 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 22028461800 in words is "twenty-two billion, twenty-eight million, four hundred sixty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1931 3862 5793 7724 9655 11586 15448 19013 19310 23172 28965 38026 38620 46344 48275 57039 57930 76052 77240 95065 96550 114078 115860 144825 152104 190130 193100 228156 231720 285195 289650 380260 386200 456312 475325 570390 579300 760520 950650 1140780 1158600 1425975 1901300 2281560 2851950 3802600 5703900 11407800 36714103 73428206 110142309 146856412 183570515 220284618 293712824 367141030 440569236 550711545 734282060 881138472 917852575 1101423090 1468564120 1835705150 2202846180 2753557725 3671410300 4405692360 5507115450 7342820600 11014230900 22028461800