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2240246480 = 2451091991291
BaseRepresentation
bin1000010110000111…
…0111001011010000
312210010102022102212
42011201313023100
514042000341410
61010144131252
7106341531563
oct20541671320
95703368385
102240246480
11a4a61937a
12526306b28
13299183444
141737564da
15d1a1bb05
hex858772d0

2240246480 has 80 divisors (see below), whose sum is σ = 5286864000. Its totient is φ = 882731520.

The previous prime is 2240246473. The next prime is 2240246507. The reversal of 2240246480 is 846420422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734635 + ... + 1735925.

It is an arithmetic number, because the mean of its divisors is an integer number (66085800).

Almost surely, 22240246480 is an apocalyptic number.

2240246480 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 2240246480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643432000).

2240246480 is an abundant number, since it is smaller than the sum of its proper divisors (3046617520).

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

2240246480 is a wasteful number, since it uses less digits than its factorization.

2240246480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 2240246480 is about 47331.2421134286. The cubic root of 2240246480 is about 1308.4745135310.

The spelling of 2240246480 in words is "two billion, two hundred forty million, two hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 199 218 398 436 545 796 872 995 1090 1291 1592 1744 1990 2180 2582 3184 3980 4360 5164 6455 7960 8720 10328 12910 15920 20656 21691 25820 43382 51640 86764 103280 108455 140719 173528 216910 256909 281438 347056 433820 513818 562876 703595 867640 1027636 1125752 1284545 1407190 1735280 2055272 2251504 2569090 2814380 4110544 5138180 5628760 10276360 11257520 20552720 28003081 56006162 112012324 140015405 224024648 280030810 448049296 560061620 1120123240 2240246480