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2002264 = 231161373
BaseRepresentation
bin111101000110101011000
310202201120221
413220311120
51003033024
6110525424
723006335
oct7506530
93681527
102002264
111148370
12806874
13551494
143a198c
152983e4
hex1e8d58

2002264 has 32 divisors (see below), whose sum is σ = 4173840. Its totient is φ = 892800.

The previous prime is 2002249. The next prime is 2002267. The reversal of 2002264 is 4622002.

It is a super-2 number, since 2×20022642 = 8018122251392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002267) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5182 + ... + 5554.

22002264 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 2002264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086920).

2002264 is an abundant number, since it is smaller than the sum of its proper divisors (2171576).

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

2002264 is a wasteful number, since it uses less digits than its factorization.

2002264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2002264 is about 1415.0137808516. The cubic root of 2002264 is about 126.0396280829.

Adding to 2002264 its reverse (4622002), we get a palindrome (6624266).

The spelling of 2002264 in words is "two million, two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 373 488 671 746 1342 1492 2684 2984 4103 5368 8206 16412 22753 32824 45506 91012 182024 250283 500566 1001132 2002264