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2252406 = 231367431
BaseRepresentation
bin1000100101111001110110
311020102201110
420211321312
51034034111
6120135450
725100532
oct10457166
94212643
102252406
1112a92a2
12907586
1360b2b0
14428bc2
152e75a6
hex225e76

2252406 has 32 divisors (see below), whose sum is σ = 4935168. Its totient is φ = 681120.

The previous prime is 2252399. The next prime is 2252407. The reversal of 2252406 is 6042522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5011 + ... + 5441.

It is an arithmetic number, because the mean of its divisors is an integer number (154224).

22252406 is an apocalyptic number.

2252406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584).

2252406 is an abundant number, since it is smaller than the sum of its proper divisors (2682762).

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

2252406 is a wasteful number, since it uses less digits than its factorization.

2252406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2252406 is about 1500.8017857132. The cubic root of 2252406 is about 131.0837605072.

Adding to 2252406 its reverse (6042522), we get a palindrome (8294928).

The spelling of 2252406 in words is "two million, two hundred fifty-two thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 431 862 871 1293 1742 2586 2613 5226 5603 11206 16809 28877 33618 57754 86631 173262 375401 750802 1126203 2252406