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2250080 = 2557341
BaseRepresentation
bin1000100101010101100000
311020022112022
420211111200
51034000310
6120121012
725061000
oct10452540
94208468
102250080
1112a7578
12906168
1360a211
14428000
152e6a55
hex225560

2250080 has 96 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 752640.

The previous prime is 2250043. The next prime is 2250089. The reversal of 2250080 is 800522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250089) 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, 54860 + ... + 54900.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

22250080 is an apocalyptic number.

2250080 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 2250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2250080 is an abundant number, since it is smaller than the sum of its proper divisors (4100320).

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

2250080 is an equidigital number, since it uses as much as digits as its factorization.

2250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2250080 is about 1500.0266664296. The cubic root of 2250080 is about 131.0386227240.

The spelling of 2250080 in words is "two million, two hundred fifty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 140 160 164 196 205 224 245 280 287 328 343 392 410 490 560 574 656 686 784 820 980 1120 1148 1312 1372 1435 1568 1640 1715 1960 2009 2296 2744 2870 3280 3430 3920 4018 4592 5488 5740 6560 6860 7840 8036 9184 10045 10976 11480 13720 14063 16072 20090 22960 27440 28126 32144 40180 45920 54880 56252 64288 70315 80360 112504 140630 160720 225008 281260 321440 450016 562520 1125040 2250080