Search a number
-
+
2211980 = 225195821
BaseRepresentation
bin1000011100000010001100
311011101021012
420130002030
51031240410
6115224352
724541631
oct10340214
94141235
102211980
111280991
128a80b8
135c5a84
14418188
152da605
hex21c08c

2211980 has 24 divisors (see below), whose sum is σ = 4890480. Its totient is φ = 838080.

The previous prime is 2211977. The next prime is 2211983. The reversal of 2211980 is 891122.

It is an interprime number because it is at equal distance from previous prime (2211977) and next prime (2211983).

It is not an unprimeable number, because it can be changed into a prime (2211983) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2531 + ... + 3290.

It is an arithmetic number, because the mean of its divisors is an integer number (203770).

22211980 is an apocalyptic number.

2211980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211980 is an abundant number, since it is smaller than the sum of its proper divisors (2678500).

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

2211980 is a wasteful number, since it uses less digits than its factorization.

2211980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2211980 is about 1487.2726717048. The cubic root of 2211980 is about 130.2947945147.

It can be divided in two parts, 221 and 1980, that multiplied together give a triangular number (437580 = T935).

The spelling of 2211980 in words is "two million, two hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 5821 11642 23284 29105 58210 110599 116420 221198 442396 552995 1105990 2211980