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2243895768 = 233253896607
BaseRepresentation
bin1000010110111111…
…0010000111011000
312210101021201022200
42011233302013120
514043414131033
61010354250200
7106414541112
oct20557620730
95711251280
102243895768
11a51691114
12527586960
13299b6049a
141740263b2
15d1edd013
hex85bf21d8

2243895768 has 96 divisors (see below), whose sum is σ = 6262401600. Its totient is φ = 725497344.

The previous prime is 2243895757. The next prime is 2243895781. The reversal of 2243895768 is 8675983422.

2243895768 is a `hidden beast` number, since 22 + 43 + 8 + 9 + 576 + 8 = 666.

2243895768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336321 + ... + 342927.

It is an arithmetic number, because the mean of its divisors is an integer number (65233350).

Almost surely, 22243895768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243895768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131200800).

2243895768 is an abundant number, since it is smaller than the sum of its proper divisors (4018505832).

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

2243895768 is a wasteful number, since it uses less digits than its factorization.

2243895768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6754 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2243895768 is about 47369.7769469099. The cubic root of 2243895768 is about 1309.1846154408.

The spelling of 2243895768 in words is "two billion, two hundred forty-three million, eight hundred ninety-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 89 106 159 178 212 267 318 356 424 477 534 636 712 801 954 1068 1272 1602 1908 2136 3204 3816 4717 6408 6607 9434 13214 14151 18868 19821 26428 28302 37736 39642 42453 52856 56604 59463 79284 84906 113208 118926 158568 169812 237852 339624 350171 475704 588023 700342 1050513 1176046 1400684 1764069 2101026 2352092 2801368 3151539 3528138 4202052 4704184 5292207 6303078 7056276 8404104 10584414 12606156 14112552 21168828 25212312 31165219 42337656 62330438 93495657 124660876 186991314 249321752 280486971 373982628 560973942 747965256 1121947884 2243895768