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2172271248 = 2432723432179
BaseRepresentation
bin1000000101111010…
…0011101010010000
312121101111210221200
42001132203222100
513422100134443
6555315151200
7104555000220
oct20136435220
95541453850
102172271248
11a152105a4
125075a5500
13288073404
14168700080
15caa90dd3
hex817a3a90

2172271248 has 240 divisors, whose sum is σ = 7421905920. Its totient is φ = 579591936.

The previous prime is 2172271247. The next prime is 2172271249. The reversal of 2172271248 is 8421722712.

It is an interprime number because it is at equal distance from previous prime (2172271247) and next prime (2172271249).

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 not an unprimeable number, because it can be changed into a prime (2172271247) 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, 995823 + ... + 998001.

It is an arithmetic number, because the mean of its divisors is an integer number (30924608).

Almost surely, 22172271248 is an apocalyptic number.

2172271248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2172271248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710952960).

2172271248 is an abundant number, since it is smaller than the sum of its proper divisors (5249634672).

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

2172271248 is a wasteful number, since it uses less digits than its factorization.

2172271248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2257 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2172271248 is about 46607.6307915346. The cubic root of 2172271248 is about 1295.1041190764.

The spelling of 2172271248 in words is "two billion, one hundred seventy-two million, two hundred seventy-one thousand, two hundred forty-eight".