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2264460144 = 24347176253
BaseRepresentation
bin1000011011111000…
…1110101101110000
312211210222111100020
42012332032231300
514114200211034
61012411123440
7110054410422
oct20676165560
95753874306
102264460144
11a62257471
12532443580
132a11b075b
14176a5a812
15d3c01249
hex86f8eb70

2264460144 has 20 divisors (see below), whose sum is σ = 5849855496. Its totient is φ = 754820032.

The previous prime is 2264460127. The next prime is 2264460151. The reversal of 2264460144 is 4410644622.

It is a super-3 number, since 3×22644601443 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 23588079 + ... + 23588174.

Almost surely, 22264460144 is an apocalyptic number.

2264460144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2264460144 is an abundant number, since it is smaller than the sum of its proper divisors (3585395352).

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

2264460144 is a wasteful number, since it uses less digits than its factorization.

2264460144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47176264 (or 47176258 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2264460144 is about 47586.3440915564. The cubic root of 2264460144 is about 1313.1718381020.

The spelling of 2264460144 in words is "two billion, two hundred sixty-four million, four hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 47176253 94352506 141528759 188705012 283057518 377410024 566115036 754820048 1132230072 2264460144