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2241220400 = 24525603051
BaseRepresentation
bin1000010110010110…
…0100111100110000
312210012020210101222
42011211210330300
514042223023100
61010221044212
7106353026156
oct20545447460
95705223358
102241220400
11a50124071
125266b6668
13299434823
1417392b3d6
15d1b60485
hex85964f30

2241220400 has 30 divisors (see below), whose sum is σ = 5384532972. Its totient is φ = 896488000.

The previous prime is 2241220393. The next prime is 2241220409. The reversal of 2241220400 is 40221422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2241220409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2801126 + ... + 2801925.

Almost surely, 22241220400 is an apocalyptic number.

2241220400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241220400 is an abundant number, since it is smaller than the sum of its proper divisors (3143312572).

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

2241220400 is a wasteful number, since it uses less digits than its factorization.

2241220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603069 (or 5603058 counting only the distinct ones).

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

The square root of 2241220400 is about 47341.5293373588. The cubic root of 2241220400 is about 1308.6641005378.

Adding to 2241220400 its reverse (40221422), we get a palindrome (2281441822).

The spelling of 2241220400 in words is "two billion, two hundred forty-one million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5603051 11206102 22412204 28015255 44824408 56030510 89648816 112061020 140076275 224122040 280152550 448244080 560305100 1120610200 2241220400