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2272380 = 2235112313
BaseRepresentation
bin1000101010110001111100
311021110010020
420222301330
51040204010
6120412140
725213005
oct10526174
94243106
102272380
111312300
12917050
13617406
144321ac
152ed470
hex22ac7c

2272380 has 72 divisors (see below), whose sum is σ = 7016016. Its totient is φ = 549120.

The previous prime is 2272379. The next prime is 2272397. The reversal of 2272380 is 832722.

2272380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2272380.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7104 + ... + 7416.

22272380 is an apocalyptic number.

2272380 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 2272380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508008).

2272380 is an abundant number, since it is smaller than the sum of its proper divisors (4743636).

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

2272380 is a wasteful number, since it uses less digits than its factorization.

2272380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2272380 is about 1507.4415411551. The cubic root of 2272380 is about 131.4700978239.

The spelling of 2272380 in words is "two million, two hundred seventy-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 313 330 363 484 605 626 660 726 939 1210 1252 1452 1565 1815 1878 2420 3130 3443 3630 3756 4695 6260 6886 7260 9390 10329 13772 17215 18780 20658 34430 37873 41316 51645 68860 75746 103290 113619 151492 189365 206580 227238 378730 454476 568095 757460 1136190 2272380