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2201005296 = 2432719412803
BaseRepresentation
bin1000001100110000…
…1010110011110000
312200101120122122200
42003030022303300
514001424132141
61002223103200
7105354144030
oct20314126360
95611518580
102201005296
11a2a456946
12515141b00
13290cc40c9
1416c45d8c0
15cd369ab6
hex8330acf0

2201005296 has 240 divisors, whose sum is σ = 7593680640. Its totient is φ = 581022720.

The previous prime is 2201005223. The next prime is 2201005297. The reversal of 2201005296 is 6925001022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201005297) by changing a digit.

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, 783831 + ... + 786633.

It is an arithmetic number, because the mean of its divisors is an integer number (31640336).

Almost surely, 22201005296 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 2201005296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796840320).

2201005296 is an abundant number, since it is smaller than the sum of its proper divisors (5392675344).

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

2201005296 is a wasteful number, since it uses less digits than its factorization.

2201005296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2201005296 is about 46914.8728656489. The cubic root of 2201005296 is about 1300.7895196207.

The spelling of 2201005296 in words is "two billion, two hundred one million, five thousand, two hundred ninety-six".