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2216280 = 2335112373
BaseRepresentation
bin1000011101000101011000
311011121011110
420131011120
51031410110
6115300320
724560313
oct10350530
94147143
102216280
111284140
128aa6a0
135c7a11
1441997a
152dba20
hex21d158

2216280 has 128 divisors (see below), whose sum is σ = 7672320. Its totient is φ = 506880.

The previous prime is 2216237. The next prime is 2216281. The reversal of 2216280 is 826122.

2216280 = T136 + T137 + ... + T250.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30324 + ... + 30396.

It is an arithmetic number, because the mean of its divisors is an integer number (59940).

22216280 is an apocalyptic number.

2216280 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 2216280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836160).

2216280 is an abundant number, since it is smaller than the sum of its proper divisors (5456040).

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

2216280 is a wasteful number, since it uses less digits than its factorization.

2216280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2216280 is about 1488.7175689163. The cubic root of 2216280 is about 130.3791691417.

The spelling of 2216280 in words is "two million, two hundred sixteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 73 88 92 110 115 120 132 138 146 165 184 219 220 230 253 264 276 292 330 345 365 438 440 460 506 552 584 660 690 730 759 803 876 920 1012 1095 1265 1320 1380 1460 1518 1606 1679 1752 2024 2190 2409 2530 2760 2920 3036 3212 3358 3795 4015 4380 4818 5037 5060 6072 6424 6716 7590 8030 8395 8760 9636 10074 10120 12045 13432 15180 16060 16790 18469 19272 20148 24090 25185 30360 32120 33580 36938 40296 48180 50370 55407 67160 73876 92345 96360 100740 110814 147752 184690 201480 221628 277035 369380 443256 554070 738760 1108140 2216280