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2236820 = 225971153
BaseRepresentation
bin1000100010000110010100
311012122100012
420202012110
51033034240
6115535352
725004225
oct10420624
94178305
102236820
111298613
128ba558
13604181
1442324c
152e2b65
hex222194

2236820 has 24 divisors (see below), whose sum is σ = 4749864. Its totient is φ = 884736.

The previous prime is 2236807. The next prime is 2236823. The reversal of 2236820 is 286322.

It can be written as a sum of positive squares in 4 ways, for example, as 425104 + 1811716 = 652^2 + 1346^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2236823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1364 + ... + 2516.

It is an arithmetic number, because the mean of its divisors is an integer number (197911).

22236820 is an apocalyptic number.

2236820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2236820 is an abundant number, since it is smaller than the sum of its proper divisors (2513044).

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

2236820 is a wasteful number, since it uses less digits than its factorization.

2236820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2236820 is about 1495.6002139609. The cubic root of 2236820 is about 130.7807064723.

The spelling of 2236820 in words is "two million, two hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1153 1940 2306 4612 5765 11530 23060 111841 223682 447364 559205 1118410 2236820