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2209982112 = 2532131947661
BaseRepresentation
bin1000001110111001…
…1010011010100000
312201000110201112100
42003232122122200
514011223411422
61003143330400
7105523352352
oct20356323240
95630421470
102209982112
11a345282a8
12518150a00
13292b18030
1416d7190d2
15ce03e7ac
hex83b9a6a0

2209982112 has 288 divisors, whose sum is σ = 7286872320. Its totient is φ = 629544960.

The previous prime is 2209982107. The next prime is 2209982129. The reversal of 2209982112 is 2112899022.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3343062 + ... + 3343722.

It is an arithmetic number, because the mean of its divisors is an integer number (25301640).

Almost surely, 22209982112 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 2209982112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643436160).

2209982112 is an abundant number, since it is smaller than the sum of its proper divisors (5076890208).

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

2209982112 is a wasteful number, since it uses less digits than its factorization.

2209982112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2209982112 is about 47010.4468389740. The cubic root of 2209982112 is about 1302.5555473576. Note that the first 4 decimals are identical.

The spelling of 2209982112 in words is "two billion, two hundred nine million, nine hundred eighty-two thousand, one hundred twelve".