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2275320 = 233567283
BaseRepresentation
bin1000101011011111111000
311021121011010
420223133320
51040302240
6120433520
725224405
oct10533770
94247133
102275320
111314533
129188a0
13618858
144332ac
152ee280
hex22b7f8

2275320 has 64 divisors (see below), whose sum is σ = 6952320. Its totient is φ = 595584.

The previous prime is 2275319. The next prime is 2275327. The reversal of 2275320 is 235722.

It is a super-2 number, since 2×22753202 = 10354162204800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275327) 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 15 ways as a sum of consecutive naturals, for example, 7899 + ... + 8181.

It is an arithmetic number, because the mean of its divisors is an integer number (108630).

22275320 is an apocalyptic number.

2275320 is a gapful number since it is divisible by the number (20) 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 2275320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476160).

2275320 is an abundant number, since it is smaller than the sum of its proper divisors (4677000).

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

2275320 is a wasteful number, since it uses less digits than its factorization.

2275320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2275320 is about 1508.4163881369. The cubic root of 2275320 is about 131.5267719591.

The spelling of 2275320 in words is "two million, two hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 283 335 402 536 566 670 804 849 1005 1132 1340 1415 1608 1698 2010 2264 2680 2830 3396 4020 4245 5660 6792 8040 8490 11320 16980 18961 33960 37922 56883 75844 94805 113766 151688 189610 227532 284415 379220 455064 568830 758440 1137660 2275320