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2240421200 = 245219329021
BaseRepresentation
bin1000010110001010…
…0001110101010000
312210010202012002222
42011202201311100
514042021434300
61010152000212
7106343160143
oct20542416520
95703665088
102240421200
11a4a728676
12526390068
13299214b24
141737a005a
15d1a53785
hex858a1d50

2240421200 has 60 divisors (see below), whose sum is σ = 5410687548. Its totient is φ = 891494400.

The previous prime is 2240421193. The next prime is 2240421263. The reversal of 2240421200 is 21240422.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5779216 + 2234641984 = 2404^2 + 47272^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62690 + ... + 91710.

Almost surely, 22240421200 is an apocalyptic number.

2240421200 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 2240421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705343774).

2240421200 is an abundant number, since it is smaller than the sum of its proper divisors (3170266348).

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

2240421200 is a wasteful number, since it uses less digits than its factorization.

2240421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29232 (or 29221 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2240421200 is about 47333.0877927904. The cubic root of 2240421200 is about 1308.5085292410.

Adding to 2240421200 its reverse (21240422), we get a palindrome (2261661622).

The spelling of 2240421200 in words is "two billion, two hundred forty million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 193 200 386 400 772 965 1544 1930 3088 3860 4825 7720 9650 15440 19300 29021 38600 58042 77200 116084 145105 232168 290210 464336 580420 725525 1160840 1451050 2321680 2902100 5601053 5804200 11202106 11608400 22404212 28005265 44808424 56010530 89616848 112021060 140026325 224042120 280052650 448084240 560105300 1120210600 2240421200