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2182872420 = 2232517713357
BaseRepresentation
bin1000001000011011…
…1111110101100100
312122010110102000200
42002012333311210
513432303404140
61000334310500
7105044052351
oct20206776544
95563412020
102182872420
11a201a13a3
1250b058430
1328a3157b1
14169c9d628
15cb987030
hex821bfd64

2182872420 has 72 divisors (see below), whose sum is σ = 7010882424. Its totient is φ = 547857408.

The previous prime is 2182872389. The next prime is 2182872443. The reversal of 2182872420 is 242782812.

2182872420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 99680256 + 2083192164 = 9984^2 + 45642^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353619 + ... + 359738.

It is an arithmetic number, because the mean of its divisors is an integer number (97373367).

Almost surely, 22182872420 is an apocalyptic number.

2182872420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2182872420 is an abundant number, since it is smaller than the sum of its proper divisors (4828010004).

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

2182872420 is a wasteful number, since it uses less digits than its factorization.

2182872420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713389 (or 713384 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2182872420 is about 46721.2202323527. The cubic root of 2182872420 is about 1297.2075008630.

The spelling of 2182872420 in words is "two billion, one hundred eighty-two million, eight hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 713357 1426714 2140071 2853428 3566785 4280142 6420213 7133570 8560284 10700355 12127069 12840426 14267140 21400710 24254138 25680852 32101065 36381207 42801420 48508276 60635345 64202130 72762414 109143621 121270690 128404260 145524828 181906035 218287242 242541380 363812070 436574484 545718105 727624140 1091436210 2182872420