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2319442272 = 253272997409
BaseRepresentation
bin1000101000111111…
…1110000101100000
312222122102212122100
42022033332011200
514222234123042
61022053410400
7111322635240
oct21217760540
95878385570
102319442272
11a902a0344
12548939a00
132ac6c1764
1418008db20
15d896224c
hex8a3fe160

2319442272 has 288 divisors, whose sum is σ = 7897780800. Its totient is φ = 631701504.

The previous prime is 2319442267. The next prime is 2319442297. The reversal of 2319442272 is 2722449132.

It is a happy number.

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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 5670804 + ... + 5671212.

It is an arithmetic number, because the mean of its divisors is an integer number (27422850).

Almost surely, 22319442272 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 2319442272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948890400).

2319442272 is an abundant number, since it is smaller than the sum of its proper divisors (5578338528).

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

2319442272 is a wasteful number, since it uses less digits than its factorization.

2319442272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 547 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2319442272 is about 48160.5883684990. The cubic root of 2319442272 is about 1323.7150988987.

The spelling of 2319442272 in words is "two billion, three hundred nineteen million, four hundred forty-two thousand, two hundred seventy-two".