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2240642460 = 223575334863
BaseRepresentation
bin1000010110001101…
…0111110110011100
312210011011102121210
42011203113312130
514042101024320
61010200424420
7106345101210
oct20543276634
95704142553
102240642460
11a4a869931
12526478110
13299291754
1417381a940
15d1a990e0
hex858d7d9c

2240642460 has 48 divisors (see below), whose sum is σ = 7170057216. Its totient is φ = 512146752.

The previous prime is 2240642419. The next prime is 2240642461. The reversal of 2240642460 is 642460422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240642461) 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 15 ways as a sum of consecutive naturals, for example, 2667012 + ... + 2667851.

It is an arithmetic number, because the mean of its divisors is an integer number (149376192).

Almost surely, 22240642460 is an apocalyptic number.

2240642460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240642460 is an abundant number, since it is smaller than the sum of its proper divisors (4929414756).

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

2240642460 is a wasteful number, since it uses less digits than its factorization.

2240642460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334882 (or 5334880 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2240642460 is about 47335.4250007328. The cubic root of 2240642460 is about 1308.5516031456.

The spelling of 2240642460 in words is "two billion, two hundred forty million, six hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5334863 10669726 16004589 21339452 26674315 32009178 37344041 53348630 64018356 74688082 80022945 106697260 112032123 149376164 160045890 186720205 224064246 320091780 373440410 448128492 560160615 746880820 1120321230 2240642460