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2230980 = 2235192103
BaseRepresentation
bin1000100000101011000100
311012100022220
420200223010
51032342410
6115452340
724651213
oct10405304
94170286
102230980
111294194
128b70b0
1360160b
1442107a
152e1070
hex220ac4

2230980 has 72 divisors (see below), whose sum is σ = 6656832. Its totient is φ = 558144.

The previous prime is 2230979. The next prime is 2231011. The reversal of 2230980 is 890322.

2230980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22309803 = 33312581256051576000, which contains 333 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 2230980.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21609 + ... + 21711.

It is an arithmetic number, because the mean of its divisors is an integer number (92456).

22230980 is an apocalyptic number.

2230980 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 2230980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328416).

2230980 is an abundant number, since it is smaller than the sum of its proper divisors (4425852).

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

2230980 is a wasteful number, since it uses less digits than its factorization.

2230980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2230980 is about 1493.6465445345. The cubic root of 2230980 is about 130.6667910360. Note that the first 3 decimals are identical.

The spelling of 2230980 in words is "two million, two hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 103 114 190 206 228 285 309 361 380 412 515 570 618 722 1030 1083 1140 1236 1444 1545 1805 1957 2060 2166 3090 3610 3914 4332 5415 5871 6180 7220 7828 9785 10830 11742 19570 21660 23484 29355 37183 39140 58710 74366 111549 117420 148732 185915 223098 371830 446196 557745 743660 1115490 2230980