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2241664 = 2783211
BaseRepresentation
bin1000100011010010000000
311012212222121
420203102000
51033213124
6120014024
725024315
oct10432200
94185877
102241664
1112a1217
12901314
13606439
14424d0c
152e42e4
hex223480

2241664 has 32 divisors (see below), whose sum is σ = 4541040. Its totient is φ = 1102080.

The previous prime is 2241607. The next prime is 2241667. The reversal of 2241664 is 4661422.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2241667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10519 + ... + 10729.

22241664 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 2241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270520).

2241664 is an abundant number, since it is smaller than the sum of its proper divisors (2299376).

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

2241664 is an equidigital number, since it uses as much as digits as its factorization.

2241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 2241664 is about 1497.2187548919. The cubic root of 2241664 is about 130.8750435212.

The spelling of 2241664 in words is "two million, two hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 211 332 422 664 844 1328 1688 2656 3376 5312 6752 10624 13504 17513 27008 35026 70052 140104 280208 560416 1120832 2241664