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2260466440 = 235173326657
BaseRepresentation
bin1000011010111011…
…1111101100001000
312211112110121000021
42012232333230020
514112134411230
61012145350224
7110005435111
oct20656775410
95745417007
102260466440
11a5aa79991
12531038374
132a0412a0b
141762db208
15d36b2c7a
hex86bbfb08

2260466440 has 32 divisors (see below), whose sum is σ = 5115464280. Its totient is φ = 898957312.

The previous prime is 2260466437. The next prime is 2260466477. The reversal of 2260466440 is 446640622.

It can be written as a sum of positive squares in 4 ways, for example, as 2068976196 + 191490244 = 45486^2 + 13838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2260466396 and 2260466405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156409 + ... + 170248.

Almost surely, 22260466440 is an apocalyptic number.

2260466440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260466440 is an abundant number, since it is smaller than the sum of its proper divisors (2854997840).

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

2260466440 is a wasteful number, since it uses less digits than its factorization.

2260466440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326841 (or 326837 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 2260466440 is about 47544.3628624888. The cubic root of 2260466440 is about 1312.3993941328.

The spelling of 2260466440 in words is "two billion, two hundred sixty million, four hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 6920 326657 653314 1306628 1633285 2613256 3266570 6533140 13066280 56511661 113023322 226046644 282558305 452093288 565116610 1130233220 2260466440