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2240222500 = 22541098221
BaseRepresentation
bin1000010110000111…
…0001010100100100
312210010101002112201
42011201301110210
514041444110000
61010143424244
7106341401635
oct20541612444
95703332481
102240222500
11a4a60235a
125262b5084
13299175559
1417374b88c
15d1a1496a
hex85871524

2240222500 has 60 divisors (see below), whose sum is σ = 4944464140. Its totient is φ = 887760000.

The previous prime is 2240222473. The next prime is 2240222527. The reversal of 2240222500 is 52220422.

It is an interprime number because it is at equal distance from previous prime (2240222473) and next prime (2240222527).

It can be written as a sum of positive squares in 10 ways, for example, as 922822884 + 1317399616 = 30378^2 + 36296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 268390 + ... + 276610.

Almost surely, 22240222500 is an apocalyptic number.

2240222500 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 2240222500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472232070).

2240222500 is an abundant number, since it is smaller than the sum of its proper divisors (2704241640).

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

2240222500 is a wasteful number, since it uses less digits than its factorization.

2240222500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8337 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2240222500 is about 47330.9887916997. The cubic root of 2240222500 is about 1308.4698447991.

Adding to 2240222500 its reverse (52220422), we get a palindrome (2292442922).

The spelling of 2240222500 in words is "two billion, two hundred forty million, two hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 125 218 250 436 500 545 625 1090 1250 2180 2500 2725 5450 8221 10900 13625 16442 27250 32884 41105 54500 68125 82210 136250 164420 205525 272500 411050 822100 896089 1027625 1792178 2055250 3584356 4110500 4480445 5138125 8960890 10276250 17921780 20552500 22402225 44804450 89608900 112011125 224022250 448044500 560055625 1120111250 2240222500