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2252316 = 22311113151
BaseRepresentation
bin1000100101111000011100
311020102121010
420211320130
51034033231
6120135220
725100343
oct10457034
94212533
102252316
1112a9220
12907510
1360b241
14428b5a
152e7546
hex225e1c

2252316 has 48 divisors (see below), whose sum is σ = 5822208. Its totient is φ = 672000.

The previous prime is 2252311. The next prime is 2252353. The reversal of 2252316 is 6132522.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2252292 and 2252301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252311) 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, 14841 + ... + 14991.

It is an arithmetic number, because the mean of its divisors is an integer number (121296).

22252316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911104).

2252316 is an abundant number, since it is smaller than the sum of its proper divisors (3569892).

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

2252316 is a wasteful number, since it uses less digits than its factorization.

2252316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 2252316 is about 1500.7718014408. The cubic root of 2252316 is about 131.0820145675.

Adding to 2252316 its reverse (6132522), we get a palindrome (8384838).

The spelling of 2252316 in words is "two million, two hundred fifty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 151 226 302 339 452 453 604 678 906 1243 1356 1661 1812 2486 3322 3729 4972 4983 6644 7458 9966 14916 17063 19932 34126 51189 68252 102378 187693 204756 375386 563079 750772 1126158 2252316