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2241228600 = 2332521319712
BaseRepresentation
bin1000010110010110…
…0110111100111000
312210012021012122200
42011211212330320
514042223303400
61010221150200
7106353062112
oct20545467470
95705235580
102241228600
11a5012a246
125266bb360
13299438490
141739303b2
15d1b62b00
hex85966f38

2241228600 has 432 divisors, whose sum is σ = 8654263800. Its totient is φ = 515289600.

The previous prime is 2241228593. The next prime is 2241228601. The reversal of 2241228600 is 68221422.

It is a happy number.

2241228600 is a `hidden beast` number, since 2 + 24 + 12 + 28 + 600 = 666.

2241228600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241228601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31566565 + ... + 31566635.

Almost surely, 22241228600 is an apocalyptic number.

2241228600 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 2241228600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327131900).

2241228600 is an abundant number, since it is smaller than the sum of its proper divisors (6413035200).

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

2241228600 is a wasteful number, since it uses less digits than its factorization.

2241228600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2241228600 is about 47341.6159420018. The cubic root of 2241228600 is about 1308.6656965481.

The spelling of 2241228600 in words is "two billion, two hundred forty-one million, two hundred twenty-eight thousand, six hundred".