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2219280 = 243571321
BaseRepresentation
bin1000011101110100010000
311011202021120
420131310100
51032004110
6115322240
724602130
oct10356420
94152246
102219280
111286418
128b0380
135c91ab
1441aac0
152dc870
hex21dd10

2219280 has 80 divisors (see below), whose sum is σ = 7868544. Its totient is φ = 506880.

The previous prime is 2219279. The next prime is 2219281. The reversal of 2219280 is 829122.

It is an interprime number because it is at equal distance from previous prime (2219279) and next prime (2219281).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 2219280.

It is not an unprimeable number, because it can be changed into a prime (2219281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020 + ... + 2340.

22219280 is an apocalyptic number.

2219280 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 2219280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934272).

2219280 is an abundant number, since it is smaller than the sum of its proper divisors (5649264).

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

2219280 is a wasteful number, since it uses less digits than its factorization.

2219280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2219280 is about 1489.7248068016. The cubic root of 2219280 is about 130.4379705501.

The spelling of 2219280 in words is "two million, two hundred nineteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1321 1680 2642 3963 5284 6605 7926 9247 10568 13210 15852 18494 19815 21136 26420 27741 31704 36988 39630 46235 52840 55482 63408 73976 79260 92470 105680 110964 138705 147952 158520 184940 221928 277410 317040 369880 443856 554820 739760 1109640 2219280