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2230845408 = 253311234727
BaseRepresentation
bin1000010011110111…
…1111111111100000
312202110201200121000
42010331333333200
514032044023113
61005210432000
7106165605321
oct20475777740
95673650530
102230845408
11a452881a0
12523132600
1329724138c
141723ca448
15d0cb1373
hex84f7ffe0

2230845408 has 96 divisors (see below), whose sum is σ = 7098174720. Its totient is φ = 676010880.

The previous prime is 2230845377. The next prime is 2230845427. The reversal of 2230845408 is 8045480322.

2230845408 is a `hidden beast` number, since 2 + 2 + 30 + 84 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22308454083 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107860 + ... + 126867.

It is an arithmetic number, because the mean of its divisors is an integer number (73939320).

Almost surely, 22230845408 is an apocalyptic number.

It is an amenable number.

2230845408 is an abundant number, since it is smaller than the sum of its proper divisors (4867329312).

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

2230845408 is a wasteful number, since it uses less digits than its factorization.

2230845408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234757 (or 234743 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2230845408 is about 47231.8262191925. The cubic root of 2230845408 is about 1306.6416333304.

The spelling of 2230845408 in words is "two billion, two hundred thirty million, eight hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 234727 469454 704181 938908 1408362 1877816 2112543 2581997 2816724 3755632 4225086 5163994 5633448 6337629 7511264 7745991 8450172 10327988 11266896 12675258 15491982 16900344 20655976 22533792 23237973 25350516 30983964 33800688 41311952 46475946 50701032 61967928 67601376 69713919 82623904 92951892 101402064 123935856 139427838 185903784 202804128 247871712 278855676 371807568 557711352 743615136 1115422704 2230845408