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2283004656 = 243323229771
BaseRepresentation
bin1000100000010011…
…1110001011110000
312220002212122122000
42020010332023300
514133422122111
61014312414000
7110401135152
oct21004761360
95802778560
102283004656
11a71773209
125386a7300
132a4ca453a
141792c6ad2
15d5665c56
hex8813e2f0

2283004656 has 80 divisors (see below), whose sum is σ = 6838014720. Its totient is φ = 727911360.

The previous prime is 2283004651. The next prime is 2283004657. The reversal of 2283004656 is 6564003822.

It is a super-2 number, since 2×22830046562 = 10424220518635356672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2283004656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283004651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104950 + ... + 124821.

It is an arithmetic number, because the mean of its divisors is an integer number (85475184).

Almost surely, 22283004656 is an apocalyptic number.

It is an amenable number.

2283004656 is an abundant number, since it is smaller than the sum of its proper divisors (4555010064).

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

2283004656 is a wasteful number, since it uses less digits than its factorization.

2283004656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229811 (or 229799 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2283004656 is about 47780.7979841275. The cubic root of 2283004656 is about 1316.7467822283.

The spelling of 2283004656 in words is "two billion, two hundred eighty-three million, four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 229771 459542 689313 919084 1378626 1838168 2067939 2757252 3676336 4135878 5284733 5514504 6203817 8271756 10569466 11029008 12407634 15854199 16543512 21138932 24815268 31708398 33087024 42277864 47562597 49630536 63416796 84555728 95125194 99261072 126833592 142687791 190250388 253667184 285375582 380500776 570751164 761001552 1141502328 2283004656