[go: up one dir, main page]

Search a number
-
+
2251368 = 233371489
BaseRepresentation
bin1000100101101001101000
311020101022000
420211221220
51034020433
6120131000
725064520
oct10455150
94211260
102251368
1112a8539
12906a60
1360a992
14428680
152e7113
hex225a68

2251368 has 64 divisors (see below), whose sum is σ = 7152000. Its totient is φ = 642816.

The previous prime is 2251349. The next prime is 2251369. The reversal of 2251368 is 8631522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2251369) 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, 768 + ... + 2256.

It is an arithmetic number, because the mean of its divisors is an integer number (111750).

22251368 is an apocalyptic number.

2251368 is a gapful number since it is divisible by the number (28) 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 2251368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576000).

2251368 is an abundant number, since it is smaller than the sum of its proper divisors (4900632).

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

2251368 is a wasteful number, since it uses less digits than its factorization.

2251368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1501 counting only the distinct ones).

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

The square root of 2251368 is about 1500.4559307091. The cubic root of 2251368 is about 131.0636211762.

The spelling of 2251368 in words is "two million, two hundred fifty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1489 1512 2978 4467 5956 8934 10423 11912 13401 17868 20846 26802 31269 35736 40203 41692 53604 62538 80406 83384 93807 107208 125076 160812 187614 250152 281421 321624 375228 562842 750456 1125684 2251368