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2273208 = 233721933
BaseRepresentation
bin1000101010111110111000
311021111020220
420222332320
51040220313
6120420040
725215300
oct10527670
94244226
102273208
111312993
12917620
136178c2
14432600
152ed823
hex22afb8

2273208 has 48 divisors (see below), whose sum is σ = 6614280. Its totient is φ = 649152.

The previous prime is 2273171. The next prime is 2273209. The reversal of 2273208 is 8023722.

It is a super-2 number, since 2×22732082 = 10334949222528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210 + ... + 2142.

22273208 is an apocalyptic number.

2273208 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 2273208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307140).

2273208 is an abundant number, since it is smaller than the sum of its proper divisors (4341072).

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

2273208 is a wasteful number, since it uses less digits than its factorization.

2273208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2273208 is about 1507.7161536576. The cubic root of 2273208 is about 131.4860640535.

The spelling of 2273208 in words is "two million, two hundred seventy-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1933 3866 5799 7732 11598 13531 15464 23196 27062 40593 46392 54124 81186 94717 108248 162372 189434 284151 324744 378868 568302 757736 1136604 2273208