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2281960 = 23589641
BaseRepresentation
bin1000101101000111101000
311021221021001
420231013220
51041010320
6120524344
725252642
oct10550750
94257231
102281960
11131951a
129206b4
1361b895
14435892
1530120a
hex22d1e8

2281960 has 32 divisors (see below), whose sum is σ = 5200200. Its totient is φ = 901120.

The previous prime is 2281921. The next prime is 2281973. The reversal of 2281960 is 691822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1943236 + 338724 = 1394^2 + 582^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3240 + ... + 3880.

22281960 is an apocalyptic number.

2281960 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 2281960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600100).

2281960 is an abundant number, since it is smaller than the sum of its proper divisors (2918240).

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

2281960 is a wasteful number, since it uses less digits than its factorization.

2281960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2281960 is about 1510.6157684865. The cubic root of 2281960 is about 131.6545912834.

The spelling of 2281960 in words is "two million, two hundred eighty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 641 712 890 1282 1780 2564 3205 3560 5128 6410 12820 25640 57049 114098 228196 285245 456392 570490 1140980 2281960