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2252523 = 371337223
BaseRepresentation
bin1000100101111011101011
311020102212210
420211323223
51034040043
6120140203
725101060
oct10457353
94212783
102252523
1112a9399
12907663
1360b370
14428c67
152e7633
hex225eeb

2252523 has 32 divisors (see below), whose sum is σ = 3813376. Its totient is φ = 1150848.

The previous prime is 2252519. The next prime is 2252539. The reversal of 2252523 is 3252522.

It is not a de Polignac number, because 2252523 - 22 = 2252519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2 + 28 + 55 + 211 + 58 + 218 + 313 .

2252523 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2252523.

It is not an unprimeable number, because it can be changed into a prime (2252513) 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 31 ways as a sum of consecutive naturals, for example, 9990 + ... + 10212.

It is an arithmetic number, because the mean of its divisors is an integer number (119168).

22252523 is an apocalyptic number.

2252523 is a deficient number, since it is larger than the sum of its proper divisors (1560853).

2252523 is a wasteful number, since it uses less digits than its factorization.

2252523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283.

The product of its digits is 1200, while the sum is 21.

The square root of 2252523 is about 1500.8407643718. The cubic root of 2252523 is about 131.0860301594.

Subtracting 2252523 from its reverse (3252522), we obtain a palindrome (999999).

It can be divided in two parts, 2252 and 523, that added together give a triangular number (2775 = T74).

The spelling of 2252523 in words is "two million, two hundred fifty-two thousand, five hundred twenty-three".

Divisors: 1 3 7 13 21 37 39 91 111 223 259 273 481 669 777 1443 1561 2899 3367 4683 8251 8697 10101 20293 24753 57757 60879 107263 173271 321789 750841 2252523