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2217628 = 22779201
BaseRepresentation
bin1000011101011010011100
311011200000101
420131122130
51031431003
6115310444
724564250
oct10353234
94150011
102217628
111285156
128ab424
135c850a
1441a260
152dc11d
hex21d69c

2217628 has 12 divisors (see below), whose sum is σ = 4435312. Its totient is φ = 950400.

The previous prime is 2217617. The next prime is 2217641. The reversal of 2217628 is 8267122.

2217628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2217628 is an admirable number.

It is a hoax number, since the sum of its digits (28) 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 (28), and also a Moran number because the ratio is a prime number: 79201 = 2217628 / (2 + 2 + 1 + 7 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 2217596 and 2217605.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 39573 + ... + 39628.

22217628 is an apocalyptic number.

2217628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2217628 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2217628 is a wasteful number, since it uses less digits than its factorization.

2217628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79212 (or 79210 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 2217628 is about 1489.1702387571. The cubic root of 2217628 is about 130.4055971351.

The spelling of 2217628 in words is "two million, two hundred seventeen thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 79201 158402 316804 554407 1108814 2217628