Search a number
-
+
2281770 = 2365313
BaseRepresentation
bin1000101101000100101010
311021221000000
420231010222
51041004040
6120523430
725252251
oct10550452
94257000
102281770
111319367
12920576
1361b77a
14435798
15301130
hex22d12a

2281770 has 56 divisors (see below), whose sum is σ = 6177636. Its totient is φ = 606528.

The previous prime is 2281751. The next prime is 2281771. The reversal of 2281770 is 771822.

It can be written as a sum of positive squares in 2 ways, for example, as 1896129 + 385641 = 1377^2 + 621^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2281771) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7134 + ... + 7446.

22281770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088818).

2281770 is an abundant number, since it is smaller than the sum of its proper divisors (3895866).

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

2281770 is an equidigital number, since it uses as much as digits as its factorization.

2281770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2281770 is about 1510.5528789155. The cubic root of 2281770 is about 131.6509372511.

The spelling of 2281770 in words is "two million, two hundred eighty-one thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 313 405 486 626 729 810 939 1215 1458 1565 1878 2430 2817 3130 3645 4695 5634 7290 8451 9390 14085 16902 25353 28170 42255 50706 76059 84510 126765 152118 228177 253530 380295 456354 760590 1140885 2281770