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2268147420 = 2235571121929
BaseRepresentation
bin1000011100110001…
…0010111011011100
312212001220211100000
42013030102323130
514121121204140
61013022134300
7110130635460
oct20714227334
95761824300
102268147420
11a64345800
12533721390
132a1ba1b86
1417733a4a0
15d41cda30
hex87312edc

2268147420 has 864 divisors, whose sum is σ = 9759859200. Its totient is φ = 431101440.

The previous prime is 2268147367. The next prime is 2268147421. The reversal of 2268147420 is 247418622.

2268147420 is a `hidden beast` number, since 226 + 8 + 1 + 4 + 7 + 420 = 666.

2268147420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268147421) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78211966 + ... + 78211994.

Almost surely, 22268147420 is an apocalyptic number.

2268147420 is a gapful number since it is divisible by the number (20) 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 2268147420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879929600).

2268147420 is an abundant number, since it is smaller than the sum of its proper divisors (7491711780).

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

2268147420 is a wasteful number, since it uses less digits than its factorization.

2268147420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2268147420 is about 47625.0713385292. The cubic root of 2268147420 is about 1313.8842082240.

The spelling of 2268147420 in words is "two billion, two hundred sixty-eight million, one hundred forty-seven thousand, four hundred twenty".