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2422742840 = 23574723917
BaseRepresentation
bin1001000001101000…
…0001111100111000
320020211211002101022
42100122001330320
514430210232330
61040223442012
7114015655130
oct22032017470
96224732338
102422742840
111033636611
12577456308
132c7c1c65b
1418da9dac0
15e2a69ae5
hex90681f38

2422742840 has 96 divisors (see below), whose sum is σ = 6366906720. Its totient is φ = 812773632.

The previous prime is 2422742821. The next prime is 2422742863. The reversal of 2422742840 is 482472242.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2422742840.

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 23 ways as a sum of consecutive naturals, for example, 616562 + ... + 620478.

It is an arithmetic number, because the mean of its divisors is an integer number (66321945).

Almost surely, 22422742840 is an apocalyptic number.

2422742840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422742840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183453360).

2422742840 is an abundant number, since it is smaller than the sum of its proper divisors (3944163880).

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

2422742840 is a wasteful number, since it uses less digits than its factorization.

2422742840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

The square root of 2422742840 is about 49221.3656860514. The cubic root of 2422742840 is about 1343.0817243433.

The spelling of 2422742840 in words is "two billion, four hundred twenty-two million, seven hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2209 2632 3290 3917 4418 6580 7834 8836 11045 13160 15463 15668 17672 19585 22090 27419 30926 31336 39170 44180 54838 61852 77315 78340 88360 109676 123704 137095 154630 156680 184099 219352 274190 309260 368198 548380 618520 736396 920495 1096760 1288693 1472792 1840990 2577386 3681980 5154772 6443465 7363960 8652653 10309544 12886930 17305306 25773860 34610612 43263265 51547720 60568571 69221224 86526530 121137142 173053060 242274284 302842855 346106120 484548568 605685710 1211371420 2422742840