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2250360 = 2332571947
BaseRepresentation
bin1000100101011001111000
311020022220200
420211121320
51034002420
6120122200
725061550
oct10453170
94208820
102250360
1112a7802
12906360
1360a398
14428160
152e6b90
hex225678

2250360 has 192 divisors, whose sum is σ = 8985600. Its totient is φ = 476928.

The previous prime is 2250359. The next prime is 2250397. The reversal of 2250360 is 630522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47857 + ... + 47903.

It is an arithmetic number, because the mean of its divisors is an integer number (46800).

22250360 is an apocalyptic number.

2250360 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 2250360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492800).

2250360 is an abundant number, since it is smaller than the sum of its proper divisors (6735240).

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

2250360 is a wasteful number, since it uses less digits than its factorization.

2250360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2250360 is about 1500.1199952004. The cubic root of 2250360 is about 131.0440579815.

Subtracting from 2250360 its product of nonzero digits (360), we obtain a square (2250000 = 15002).

Adding to 2250360 its reverse (630522), we get a palindrome (2880882).

It can be divided in two parts, 2250 and 360, that multiplied together give a 4-th power (810000 = 304).

The spelling of 2250360 in words is "two million, two hundred fifty thousand, three hundred sixty".