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2327049216 = 21033174951
BaseRepresentation
bin1000101010110011…
…1111010000000000
320000011202100102000
42022230333100000
514231211033331
61022524424000
7111444410022
oct21254772000
96004670360
102327049216
11a94616578
1254b3a8000
132b1155ccb
141810b0012
15d94660e6
hex8ab3f400

2327049216 has 176 divisors, whose sum is σ = 7298455680. Its totient is φ = 729907200.

The previous prime is 2327049209. The next prime is 2327049227. The reversal of 2327049216 is 6129407232.

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

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 15 ways as a sum of consecutive naturals, for example, 467541 + ... + 472491.

Almost surely, 22327049216 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 2327049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649227840).

2327049216 is an abundant number, since it is smaller than the sum of its proper divisors (4971406464).

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

2327049216 is a wasteful number, since it uses less digits than its factorization.

2327049216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2327049216 is about 48239.4985048560. The cubic root of 2327049216 is about 1325.1606243627.

The spelling of 2327049216 in words is "two billion, three hundred twenty-seven million, forty-nine thousand, two hundred sixteen".