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2269446264 = 2332311016777
BaseRepresentation
bin1000011101000101…
…0000000001111000
312212011100211000100
42013101100001320
514121434240024
61013110035400
7110144655261
oct20721200170
95764324010
102269446264
11a65052628
12534048b60
132a2238117
14177597968
15d43887c9
hex87450078

2269446264 has 48 divisors (see below), whose sum is σ = 6344694720. Its totient is φ = 732078720.

The previous prime is 2269446259. The next prime is 2269446281. The reversal of 2269446264 is 4626449622.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506157 + ... + 510620.

It is an arithmetic number, because the mean of its divisors is an integer number (132181140).

Almost surely, 22269446264 is an apocalyptic number.

2269446264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2269446264 is an abundant number, since it is smaller than the sum of its proper divisors (4075248456).

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

2269446264 is a wasteful number, since it uses less digits than its factorization.

2269446264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016820 (or 1016813 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 2269446264 is about 47638.7055239749. The cubic root of 2269446264 is about 1314.1349569134.

The spelling of 2269446264 in words is "two billion, two hundred sixty-nine million, four hundred forty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 1016777 2033554 3050331 4067108 6100662 8134216 9150993 12201324 18301986 24402648 31520087 36603972 63040174 73207944 94560261 126080348 189120522 252160696 283680783 378241044 567361566 756482088 1134723132 2269446264