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2221424352 = 25357371103
BaseRepresentation
bin1000010001101000…
…0011111011100000
312201211000001100000
42010122003323200
514022141034402
61004232500000
7106022536560
oct20432037340
95654001300
102221424352
11a3aa32aa4
1251bb4a600
132952c31a4
14171056da0
15d004ec1c
hex84683ee0

2221424352 has 288 divisors, whose sum is σ = 7696346112. Its totient is φ = 616978944.

The previous prime is 2221424339. The next prime is 2221424363. The reversal of 2221424352 is 2534241222.

2221424352 is a `hidden beast` number, since 2 + 221 + 4 + 2 + 435 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013433 + ... + 2014535.

It is an arithmetic number, because the mean of its divisors is an integer number (26723424).

Almost surely, 22221424352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848173056).

2221424352 is an abundant number, since it is smaller than the sum of its proper divisors (5474921760).

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

2221424352 is a wasteful number, since it uses less digits than its factorization.

2221424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1152 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2221424352 is about 47131.9886276826. The cubic root of 2221424352 is about 1304.7996838787.

Adding to 2221424352 its reverse (2534241222), we get a palindrome (4755665574).

The spelling of 2221424352 in words is "two billion, two hundred twenty-one million, four hundred twenty-four thousand, three hundred fifty-two".