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2288970 = 232529877
BaseRepresentation
bin1000101110110101001010
311022021212200
420232311022
51041221340
6121021030
725312245
oct10566512
94267780
102288970
111323812
12924776
13621b28
1443825c
15303330
hex22ed4a

2288970 has 48 divisors (see below), whose sum is σ = 6163560. Its totient is φ = 588672.

The previous prime is 2288953. The next prime is 2289013. The reversal of 2288970 is 798822.

2288970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2134521 + 154449 = 1461^2 + 393^2 .

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 23 ways as a sum of consecutive naturals, for example, 2172 + ... + 3048.

22288970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081780).

2288970 is an abundant number, since it is smaller than the sum of its proper divisors (3874590).

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

2288970 is a wasteful number, since it uses less digits than its factorization.

2288970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2288970 is about 1512.9342351867. The cubic root of 2288970 is about 131.7892642941.

The spelling of 2288970 in words is "two million, two hundred eighty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 877 1305 1754 2610 2631 4385 5262 7893 8770 13155 15786 25433 26310 39465 50866 76299 78930 127165 152598 228897 254330 381495 457794 762990 1144485 2288970