Search a number
-
+
2251320 = 233573257
BaseRepresentation
bin1000100101101000111000
311020101020020
420211220320
51034020240
6120130440
725064421
oct10455070
94211206
102251320
1112a84a5
12906a20
1360a956
14428648
152e70d0
hex225a38

2251320 has 64 divisors (see below), whose sum is σ = 6873120. Its totient is φ = 589824.

The previous prime is 2251297. The next prime is 2251331. The reversal of 2251320 is 231522.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2251320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8632 + ... + 8888.

22251320 is an apocalyptic number.

2251320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436560).

2251320 is an abundant number, since it is smaller than the sum of its proper divisors (4621800).

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

2251320 is a wasteful number, since it uses less digits than its factorization.

2251320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2251320 is about 1500.4399354856. The cubic root of 2251320 is about 131.0626897279.

Adding to 2251320 its reverse (231522), we get a palindrome (2482842).

The spelling of 2251320 in words is "two million, two hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 257 292 365 438 514 584 730 771 876 1028 1095 1285 1460 1542 1752 2056 2190 2570 2920 3084 3855 4380 5140 6168 7710 8760 10280 15420 18761 30840 37522 56283 75044 93805 112566 150088 187610 225132 281415 375220 450264 562830 750440 1125660 2251320