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2294729424 = 2432131225817
BaseRepresentation
bin1000100011000110…
…1100101011010000
312220220221022222200
42020301230223100
514144422320144
61015412003200
7110602610151
oct21061545320
95826838880
102294729424
11a783511a9
12540600500
132a754b180
1417aa99928
15d66cec69
hex88c6cad0

2294729424 has 60 divisors (see below), whose sum is σ = 6916065156. Its totient is φ = 706070016.

The previous prime is 2294729419. The next prime is 2294729447. The reversal of 2294729424 is 4249274922.

It can be written as a sum of positive squares in 2 ways, for example, as 716097600 + 1578631824 = 26760^2 + 39732^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2294729424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611037 + ... + 614780.

Almost surely, 22294729424 is an apocalyptic number.

2294729424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2294729424 is an abundant number, since it is smaller than the sum of its proper divisors (4621335732).

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

2294729424 is a wasteful number, since it uses less digits than its factorization.

2294729424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225844 (or 1225835 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2294729424 is about 47903.3341637093. The cubic root of 2294729424 is about 1318.9970618504.

It can be divided in two parts, 2294729 and 424, that added together give a triangular number (2295153 = T2142).

The spelling of 2294729424 in words is "two billion, two hundred ninety-four million, seven hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 1225817 2451634 3677451 4903268 7354902 9806536 11032353 14709804 15935621 19613072 22064706 29419608 31871242 44129412 47806863 58839216 63742484 88258824 95613726 127484968 143420589 176517648 191227452 254969936 286841178 382454904 573682356 764909808 1147364712 2294729424