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2231380 = 225315961
BaseRepresentation
bin1000100000110001010100
311012100212201
420200301110
51032401010
6115454244
724652324
oct10406124
94170781
102231380
111294518
128b7384
13601858
14421284
152e123a
hex220c54

2231380 has 48 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 835200.

The previous prime is 2231371. The next prime is 2231381. The reversal of 2231380 is 831322.

2231380 = T245 + T246 + ... + T303.

It is a happy number.

It is a super-3 number, since 3×22313803 = 33330502647192216000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231381) 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 15 ways as a sum of consecutive naturals, for example, 36550 + ... + 36610.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

22231380 is an apocalyptic number.

2231380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840).

2231380 is an abundant number, since it is smaller than the sum of its proper divisors (2768300).

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

2231380 is a wasteful number, since it uses less digits than its factorization.

2231380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2231380 is about 1493.7804390204. The cubic root of 2231380 is about 130.6745998006.

The spelling of 2231380 in words is "two million, two hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 31 59 61 62 118 122 124 155 236 244 295 305 310 590 610 620 1180 1220 1829 1891 3599 3658 3782 7198 7316 7564 9145 9455 14396 17995 18290 18910 35990 36580 37820 71980 111569 223138 446276 557845 1115690 2231380