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2264820 = 223537747
BaseRepresentation
bin1000101000111011110100
311021001202020
420220323310
51034433240
6120313140
725151655
oct10507364
94231666
102264820
111307658
129127b0
13613b3c
1442d52c
152eb0d0
hex228ef4

2264820 has 24 divisors (see below), whose sum is σ = 6341664. Its totient is φ = 603936.

The previous prime is 2264809. The next prime is 2264827. The reversal of 2264820 is 284622.

2264820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264827) 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, 18814 + ... + 18933.

It is an arithmetic number, because the mean of its divisors is an integer number (264236).

22264820 is an apocalyptic number.

2264820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264820 is an abundant number, since it is smaller than the sum of its proper divisors (4076844).

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

2264820 is a wasteful number, since it uses less digits than its factorization.

2264820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37759 (or 37757 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2264820 is about 1504.9318921466. The cubic root of 2264820 is about 131.3241395186.

The spelling of 2264820 in words is "two million, two hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 37747 75494 113241 150988 188735 226482 377470 452964 566205 754940 1132410 2264820