Search a number
-
+
2251494 = 2327107167
BaseRepresentation
bin1000100101101011100110
311020101110200
420211223212
51034021434
6120131330
725065060
oct10455346
94211420
102251494
1112a8643
12906b46
1360aa5b
14428730
152e7199
hex225ae6

2251494 has 48 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 633456.

The previous prime is 2251489. The next prime is 2251507. The reversal of 2251494 is 4941522.

2251494 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 13399 + ... + 13565.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

22251494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

2251494 is an abundant number, since it is smaller than the sum of its proper divisors (3409434).

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

2251494 is a wasteful number, since it uses less digits than its factorization.

2251494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 286 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2251494 is about 1500.4979173594. The cubic root of 2251494 is about 131.0660661649.

The spelling of 2251494 in words is "two million, two hundred fifty-one thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 167 214 321 334 501 642 749 963 1002 1169 1498 1503 1926 2247 2338 3006 3507 4494 6741 7014 10521 13482 17869 21042 35738 53607 107214 125083 160821 250166 321642 375249 750498 1125747 2251494