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2241088 = 2619297
BaseRepresentation
bin1000100011001001000000
311012212012021
420203021000
51033203323
6120011224
725022533
oct10431100
94185167
102241088
1112a0843
12900b14
136060b5
14424a1a
152e405d
hex223240

2241088 has 42 divisors (see below), whose sum is σ = 4741926. Its totient is φ = 1050624.

The previous prime is 2241073. The next prime is 2241119. The reversal of 2241088 is 8801422.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 369664 = 1368^2 + 608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23056 + ... + 23152.

It is an arithmetic number, because the mean of its divisors is an integer number (112903).

22241088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370963).

2241088 is an abundant number, since it is smaller than the sum of its proper divisors (2500838).

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

2241088 is an equidigital number, since it uses as much as digits as its factorization.

2241088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2241088 is about 1497.0263858730. The cubic root of 2241088 is about 130.8638330272.

The spelling of 2241088 in words is "two million, two hundred forty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 152 194 304 361 388 608 722 776 1216 1444 1552 1843 2888 3104 3686 5776 6208 7372 11552 14744 23104 29488 35017 58976 70034 117952 140068 280136 560272 1120544 2241088