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2250160 = 245112557
BaseRepresentation
bin1000100101010110110000
311020022122021
420211112300
51034001120
6120121224
725061143
oct10452660
94208567
102250160
1112a7640
12906214
1360a273
1442805a
152e6aaa
hex2255b0

2250160 has 40 divisors (see below), whose sum is σ = 5709456. Its totient is φ = 817920.

The previous prime is 2250119. The next prime is 2250163. The reversal of 2250160 is 610522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399 + ... + 2158.

22250160 is an apocalyptic number.

2250160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250160 is an abundant number, since it is smaller than the sum of its proper divisors (3459296).

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

2250160 is a wasteful number, since it uses less digits than its factorization.

2250160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2250160 is about 1500.0533323852. The cubic root of 2250160 is about 131.0401757007.

Adding to 2250160 its reverse (610522), we get a palindrome (2860682).

It can be divided in two parts, 2250 and 160, that multiplied together give a square (360000 = 6002).

The spelling of 2250160 in words is "two million, two hundred fifty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2557 5114 10228 12785 20456 25570 28127 40912 51140 56254 102280 112508 140635 204560 225016 281270 450032 562540 1125080 2250160