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2220816 = 243133559
BaseRepresentation
bin1000011110001100010000
311011211101110
420132030100
51032031231
6115333320
724606453
oct10361420
94154343
102220816
111287594
128b1240
135c9ac0
1441b49a
152dd046
hex21e310

2220816 has 40 divisors (see below), whose sum is σ = 6180160. Its totient is φ = 683136.

The previous prime is 2220787. The next prime is 2220839. The reversal of 2220816 is 6180222.

It is a junction number, because it is equal to n+sod(n) for n = 2220792 and 2220801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1156 + ... + 2403.

It is an arithmetic number, because the mean of its divisors is an integer number (154504).

22220816 is an apocalyptic number.

2220816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2220816 is an abundant number, since it is smaller than the sum of its proper divisors (3959344).

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

2220816 is a wasteful number, since it uses less digits than its factorization.

2220816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2220816 is about 1490.2402490874. The cubic root of 2220816 is about 130.4680563614.

The spelling of 2220816 in words is "two million, two hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3559 7118 10677 14236 21354 28472 42708 46267 56944 85416 92534 138801 170832 185068 277602 370136 555204 740272 1110408 2220816