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2225880 = 23355229
BaseRepresentation
bin1000011111011011011000
311012002100000
420133123120
51032212010
6115413000
724630306
oct10373330
94162300
102225880
111290378
128b4160
135cc1b7
1441d276
152de7c0
hex21f6d8

2225880 has 96 divisors (see below), whose sum is σ = 7534800. Its totient is φ = 590976.

The previous prime is 2225879. The next prime is 2225887. The reversal of 2225880 is 885222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9606 + ... + 9834.

22225880 is an apocalyptic number.

2225880 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 2225880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767400).

2225880 is an abundant number, since it is smaller than the sum of its proper divisors (5308920).

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

2225880 is a wasteful number, since it uses less digits than its factorization.

2225880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2225880 is about 1491.9383365274. The cubic root of 2225880 is about 130.5671473704.

The spelling of 2225880 in words is "two million, two hundred twenty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 229 243 270 324 360 405 458 486 540 648 687 810 916 972 1080 1145 1215 1374 1620 1832 1944 2061 2290 2430 2748 3240 3435 4122 4580 4860 5496 6183 6870 8244 9160 9720 10305 12366 13740 16488 18549 20610 24732 27480 30915 37098 41220 49464 55647 61830 74196 82440 92745 111294 123660 148392 185490 222588 247320 278235 370980 445176 556470 741960 1112940 2225880