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2230920 = 233256197
BaseRepresentation
bin1000100000101010001000
311012100020200
420200222020
51032342140
6115452200
724651066
oct10405210
94170220
102230920
11129413a
128b7060
13601593
14421036
152e1030
hex220a88

2230920 has 48 divisors (see below), whose sum is σ = 7251660. Its totient is φ = 594816.

The previous prime is 2230873. The next prime is 2230939. The reversal of 2230920 is 290322.

2230920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2196324 + 34596 = 1482^2 + 186^2 .

It is a super-3 number, since 3×22309203 = 33309893601584064000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2230893 and 2230902.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2739 + ... + 3458.

22230920 is an apocalyptic number.

2230920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230920 is an abundant number, since it is smaller than the sum of its proper divisors (5020740).

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

2230920 is a wasteful number, since it uses less digits than its factorization.

2230920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6214 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2230920 is about 1493.6264593264. The cubic root of 2230920 is about 130.6656196408.

The spelling of 2230920 in words is "two million, two hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6197 12394 18591 24788 30985 37182 49576 55773 61970 74364 92955 111546 123940 148728 185910 223092 247880 278865 371820 446184 557730 743640 1115460 2230920