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2222880 = 253511421
BaseRepresentation
bin1000011110101100100000
311011221012220
420132230200
51032113010
6115351040
724615462
oct10365440
94157186
102222880
1112890a0
128b2480
135caa1a
1441c132
152dd970
hex21eb20

2222880 has 96 divisors (see below), whose sum is σ = 7656768. Its totient is φ = 537600.

The previous prime is 2222839. The next prime is 2222893. The reversal of 2222880 is 882222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2222880.

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, 5070 + ... + 5490.

It is an arithmetic number, because the mean of its divisors is an integer number (79758).

22222880 is an apocalyptic number.

2222880 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 2222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828384).

2222880 is an abundant number, since it is smaller than the sum of its proper divisors (5433888).

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

2222880 is a wasteful number, since it uses less digits than its factorization.

2222880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2222880 is about 1490.9325940498. The cubic root of 2222880 is about 130.5084623335.

The spelling of 2222880 in words is "two million, two hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 421 440 480 528 660 842 880 1056 1263 1320 1684 1760 2105 2526 2640 3368 4210 4631 5052 5280 6315 6736 8420 9262 10104 12630 13472 13893 16840 18524 20208 23155 25260 27786 33680 37048 40416 46310 50520 55572 67360 69465 74096 92620 101040 111144 138930 148192 185240 202080 222288 277860 370480 444576 555720 740960 1111440 2222880