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2022208 = 26191663
BaseRepresentation
bin111101101101101000000
310210201221121
413231231000
51004202313
6111202024
723121436
oct7555500
93721847
102022208
111161351
12816314
1355a596
143a8d56
1529e28d
hex1edb40

2022208 has 28 divisors (see below), whose sum is σ = 4226560. Its totient is φ = 957312.

The previous prime is 2022191. The next prime is 2022217. The reversal of 2022208 is 8022202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2022191 and 2022200.

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, 385 + ... + 2047.

22022208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113280).

2022208 is an abundant number, since it is smaller than the sum of its proper divisors (2204352).

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

2022208 is a wasteful number, since it uses less digits than its factorization.

2022208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2022208 is about 1422.0435998942. The cubic root of 2022208 is about 126.4567282619.

The spelling of 2022208 in words is "two million, twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 1663 3326 6652 13304 26608 31597 53216 63194 106432 126388 252776 505552 1011104 2022208