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2272500 = 223254101
BaseRepresentation
bin1000101010110011110100
311021110021200
420222303310
51040210000
6120412500
725213236
oct10526364
94243250
102272500
1113123aa
12917130
13617499
14432256
152ed500
hex22acf4

2272500 has 90 divisors (see below), whose sum is σ = 7249242. Its totient is φ = 600000.

The previous prime is 2272499. The next prime is 2272513. The reversal of 2272500 is 52722.

It is a happy number.

2272500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 318096 + 1954404 = 564^2 + 1398^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 22450 + ... + 22550.

22272500 is an apocalyptic number.

2272500 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 2272500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624621).

2272500 is an abundant number, since it is smaller than the sum of its proper divisors (4976742).

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

2272500 is a wasteful number, since it uses less digits than its factorization.

2272500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2272500 is about 1507.4813431681. The cubic root of 2272500 is about 131.4724120105.

It can be divided in two parts, 2272 and 500, that added together give a palindrome (2772).

The spelling of 2272500 in words is "two million, two hundred seventy-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 101 125 150 180 202 225 250 300 303 375 404 450 500 505 606 625 750 900 909 1010 1125 1212 1250 1500 1515 1818 1875 2020 2250 2500 2525 3030 3636 3750 4500 4545 5050 5625 6060 7500 7575 9090 10100 11250 12625 15150 18180 22500 22725 25250 30300 37875 45450 50500 63125 75750 90900 113625 126250 151500 189375 227250 252500 378750 454500 568125 757500 1136250 2272500