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2293380 = 2233531137
BaseRepresentation
bin1000101111111010000100
311022111221000
420233322010
51041342010
6121053300
725331145
oct10577204
94274830
102293380
111327061
12927230
13623b3b
14439acc
153047c0
hex22fe84

2293380 has 96 divisors (see below), whose sum is σ = 7418880. Its totient is φ = 587520.

The previous prime is 2293367. The next prime is 2293391. The reversal of 2293380 is 833922.

2293380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16672 + ... + 16808.

It is an arithmetic number, because the mean of its divisors is an integer number (77280).

22293380 is an apocalyptic number.

2293380 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 2293380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709440).

2293380 is an abundant number, since it is smaller than the sum of its proper divisors (5125500).

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

2293380 is a wasteful number, since it uses less digits than its factorization.

2293380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2293380 is about 1514.3909666926. The cubic root of 2293380 is about 131.8738464144.

The spelling of 2293380 in words is "two million, two hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 137 155 180 186 270 274 279 310 372 411 465 540 548 558 620 685 822 837 930 1116 1233 1370 1395 1644 1674 1860 2055 2466 2740 2790 3348 3699 4110 4185 4247 4932 5580 6165 7398 8220 8370 8494 12330 12741 14796 16740 16988 18495 21235 24660 25482 36990 38223 42470 50964 63705 73980 76446 84940 114669 127410 152892 191115 229338 254820 382230 458676 573345 764460 1146690 2293380