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2264260240 = 245112573023
BaseRepresentation
bin1000011011110101…
…1101111010010000
312211210121100010101
42012331131322100
514114122311430
61012402542144
7110052615544
oct20675357220
95753540111
102264260240
11a62130260
12532367954
132a1140778
14176a07a24
15d3bb1dca
hex86f5de90

2264260240 has 40 divisors (see below), whose sum is σ = 5742989568. Its totient is φ = 823367040.

The previous prime is 2264260237. The next prime is 2264260249. The reversal of 2264260240 is 420624622.

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 = 2264260199 and 2264260208.

It is not an unprimeable number, because it can be changed into a prime (2264260249) by changing a digit.

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, 1285632 + ... + 1287391.

Almost surely, 22264260240 is an apocalyptic number.

2264260240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264260240 is an abundant number, since it is smaller than the sum of its proper divisors (3478729328).

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

2264260240 is a wasteful number, since it uses less digits than its factorization.

2264260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573047 (or 2573041 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2264260240 is about 47584.2436106743. The cubic root of 2264260240 is about 1313.1331951862.

Adding to 2264260240 its reverse (420624622), we get a palindrome (2684884862).

The spelling of 2264260240 in words is "two billion, two hundred sixty-four million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2573023 5146046 10292092 12865115 20584184 25730230 28303253 41168368 51460460 56606506 102920920 113213012 141516265 205841840 226426024 283032530 452852048 566065060 1132130120 2264260240