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2252466 = 232172433
BaseRepresentation
bin1000100101111010110010
311020102210200
420211322302
51034034331
6120140030
725100646
oct10457262
94212720
102252466
1112a9347
12907616
1360b328
14428c26
152e75e6
hex225eb2

2252466 has 36 divisors (see below), whose sum is σ = 5196282. Its totient is φ = 705024.

The previous prime is 2252461. The next prime is 2252477. The reversal of 2252466 is 6642522.

2252466 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 3 ways, for example, as 2030625 + 221841 = 1425^2 + 471^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252461) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4986 + ... + 5418.

22252466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598141).

2252466 is an abundant number, since it is smaller than the sum of its proper divisors (2943816).

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

2252466 is a wasteful number, since it uses less digits than its factorization.

2252466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 455 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2252466 is about 1500.8217748953. The cubic root of 2252466 is about 131.0849244412.

Adding to 2252466 its reverse (6642522), we get a palindrome (8894988).

The spelling of 2252466 in words is "two million, two hundred fifty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 433 578 866 867 1299 1734 2598 2601 3897 5202 7361 7794 14722 22083 44166 66249 125137 132498 250274 375411 750822 1126233 2252466