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2215820 = 225234817
BaseRepresentation
bin1000011100111110001100
311011120112102
420130332030
51031401240
6115254232
724556055
oct10347614
94146472
102215820
111283862
128aa378
135c7749
1441972c
152db815
hex21cf8c

2215820 has 24 divisors (see below), whose sum is σ = 4856544. Its totient is φ = 847616.

The previous prime is 2215793. The next prime is 2215823. The reversal of 2215820 is 285122.

2215820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2215792 and 2215801.

It is not an unprimeable number, because it can be changed into a prime (2215823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1949 + ... + 2868.

It is an arithmetic number, because the mean of its divisors is an integer number (202356).

22215820 is an apocalyptic number.

2215820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2215820 is an abundant number, since it is smaller than the sum of its proper divisors (2640724).

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

2215820 is a wasteful number, since it uses less digits than its factorization.

2215820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2215820 is about 1488.5630655098. The cubic root of 2215820 is about 130.3701482347.

The spelling of 2215820 in words is "two million, two hundred fifteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 4817 9634 19268 24085 48170 96340 110791 221582 443164 553955 1107910 2215820