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2240614420 = 2251146321997
BaseRepresentation
bin1000010110001101…
…0001000000010100
312210011010000011021
42011203101000110
514042044130140
61010200050524
7106344623362
oct20543210024
95704100137
102240614420
11a4a84a860
12526463a44
13299281a65
14173810632
15d1a90b4a
hex858d1014

2240614420 has 48 divisors (see below), whose sum is σ = 5144364288. Its totient is φ = 812972160.

The previous prime is 2240614417. The next prime is 2240614429. The reversal of 2240614420 is 244160422.

It is a happy number.

It is a super-2 number, since 2×22406144202 = 10040705958223872800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240614429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90862 + ... + 112858.

It is an arithmetic number, because the mean of its divisors is an integer number (107174256).

Almost surely, 22240614420 is an apocalyptic number.

2240614420 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 2240614420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572182144).

2240614420 is an abundant number, since it is smaller than the sum of its proper divisors (2903749868).

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

2240614420 is a wasteful number, since it uses less digits than its factorization.

2240614420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22480 (or 22478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2240614420 is about 47335.1288157115. The cubic root of 2240614420 is about 1308.5461446011.

Adding to 2240614420 its reverse (244160422), we get a palindrome (2484774842).

The spelling of 2240614420 in words is "two billion, two hundred forty million, six hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 463 926 1852 2315 4630 5093 9260 10186 20372 21997 25465 43994 50930 87988 101860 109985 219970 241967 439940 483934 967868 1209835 2419670 4839340 10184611 20369222 40738444 50923055 101846110 112030721 203692220 224061442 448122884 560153605 1120307210 2240614420