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2230080 = 263523101
BaseRepresentation
bin1000100000011101000000
311012022002120
420200131000
51032330310
6115444240
724645456
oct10403500
94168076
102230080
111293546
128b6680
13601098
144209d6
152e0b70
hex220740

2230080 has 112 divisors (see below), whose sum is σ = 7461504. Its totient is φ = 563200.

The previous prime is 2230079. The next prime is 2230093. The reversal of 2230080 is 800322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22030 + ... + 22130.

22230080 is an apocalyptic number.

2230080 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 2230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730752).

2230080 is an abundant number, since it is smaller than the sum of its proper divisors (5231424).

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

2230080 is a wasteful number, since it uses less digits than its factorization.

2230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2230080 is about 1493.3452380478. The cubic root of 2230080 is about 130.6492179024.

The spelling of 2230080 in words is "two million, two hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 101 115 120 138 160 184 192 202 230 240 276 303 320 345 368 404 460 480 505 552 606 690 736 808 920 960 1010 1104 1212 1380 1472 1515 1616 1840 2020 2208 2323 2424 2760 3030 3232 3680 4040 4416 4646 4848 5520 6060 6464 6969 7360 8080 9292 9696 11040 11615 12120 13938 16160 18584 19392 22080 23230 24240 27876 32320 34845 37168 46460 48480 55752 69690 74336 92920 96960 111504 139380 148672 185840 223008 278760 371680 446016 557520 743360 1115040 2230080