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2264444240 = 245101280253
BaseRepresentation
bin1000011011111000…
…1010110101010000
312211210221200112012
42012332022311100
514114144203430
61012410522052
7110054313152
oct20676126520
95753850465
102264444240
11a62246523
12532436328
132a11a6446
14176a54ad2
15d3beb695
hex86f8ad50

2264444240 has 40 divisors (see below), whose sum is σ = 5316978888. Its totient is φ = 896806400.

The previous prime is 2264444213. The next prime is 2264444267. The reversal of 2264444240 is 424444622.

It is an interprime number because it is at equal distance from previous prime (2264444213) and next prime (2264444267).

It can be written as a sum of positive squares in 4 ways, for example, as 1282499344 + 981944896 = 35812^2 + 31336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2264444197 and 2264444206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132047 + ... + 148206.

Almost surely, 22264444240 is an apocalyptic number.

2264444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264444240 is an abundant number, since it is smaller than the sum of its proper divisors (3052534648).

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

2264444240 is a wasteful number, since it uses less digits than its factorization.

2264444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280367 (or 280361 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The square root of 2264444240 is about 47586.1769844983. The cubic root of 2264444240 is about 1313.1687638250.

Adding to 2264444240 its reverse (424444622), we get a palindrome (2688888862).

The spelling of 2264444240 in words is "two billion, two hundred sixty-four million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 280253 560506 1121012 1401265 2242024 2802530 4484048 5605060 11210120 22420240 28305553 56611106 113222212 141527765 226444424 283055530 452888848 566111060 1132222120 2264444240