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2220008 = 237291367
BaseRepresentation
bin1000011101111111101000
311011210021112
420131333220
51032020013
6115325452
724604220
oct10357750
94153245
102220008
111286a1a
128b0888
135c961b
1441b080
152dcba8
hex21dfe8

2220008 has 32 divisors (see below), whose sum is σ = 4924800. Its totient is φ = 917952.

The previous prime is 2220007. The next prime is 2220041. The reversal of 2220008 is 8000222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2219974 and 2220001.

It is not an unprimeable number, because it can be changed into a prime (2220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941 + ... + 2307.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

22220008 is an apocalyptic number.

2220008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462400).

2220008 is an abundant number, since it is smaller than the sum of its proper divisors (2704792).

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

2220008 is a wasteful number, since it uses less digits than its factorization.

2220008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2220008 is about 1489.9691271969. The cubic root of 2220008 is about 130.4522317010.

The spelling of 2220008 in words is "two million, two hundred twenty thousand, eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1367 1624 2734 5468 9569 10936 19138 38276 39643 76552 79286 158572 277501 317144 555002 1110004 2220008