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2250320 = 245231223
BaseRepresentation
bin1000100101011001010000
311020022212012
420211121100
51034002240
6120122052
725061462
oct10453120
94208765
102250320
1112a7776
12906328
1360a367
14428132
152e6b65
hex225650

2250320 has 40 divisors (see below), whose sum is σ = 5463936. Its totient is φ = 860288.

The previous prime is 2250263. The next prime is 2250337. The reversal of 2250320 is 230522.

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

It is a d-powerful number, because it can be written as 29 + 217 + 53 + 0 + 313 + 219 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2250295 and 2250304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1229 + ... + 2451.

22250320 is an apocalyptic number.

2250320 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 2250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731968).

2250320 is an abundant number, since it is smaller than the sum of its proper divisors (3213616).

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

2250320 is a wasteful number, since it uses less digits than its factorization.

2250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2250320 is about 1500.1066628743. The cubic root of 2250320 is about 131.0432815437.

Adding to 2250320 its reverse (230522), we get a palindrome (2480842).

The spelling of 2250320 in words is "two million, two hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1223 1840 2446 4892 6115 9784 12230 19568 24460 28129 48920 56258 97840 112516 140645 225032 281290 450064 562580 1125160 2250320