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2213880 = 233519971
BaseRepresentation
bin1000011100011111111000
311011110212120
420130133320
51031321010
6115241240
724550314
oct10343770
94143776
102213880
111282359
128a9220
135c68b6
14418b44
152dae70
hex21c7f8

2213880 has 64 divisors (see below), whose sum is σ = 6998400. Its totient is φ = 558720.

The previous prime is 2213867. The next prime is 2213891. The reversal of 2213880 is 883122.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2213880.

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, 1795 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (109350).

22213880 is an apocalyptic number.

2213880 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 2213880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200).

2213880 is an abundant number, since it is smaller than the sum of its proper divisors (4784520).

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

2213880 is a wasteful number, since it uses less digits than its factorization.

2213880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2213880 is about 1487.9112876781. The cubic root of 2213880 is about 130.3320897980.

The spelling of 2213880 in words is "two million, two hundred thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 971 1140 1942 2280 2913 3884 4855 5826 7768 9710 11652 14565 18449 19420 23304 29130 36898 38840 55347 58260 73796 92245 110694 116520 147592 184490 221388 276735 368980 442776 553470 737960 1106940 2213880