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2213340 = 223537997
BaseRepresentation
bin1000011100010111011100
311011110010120
420130113130
51031311330
6115234540
724545613
oct10342734
94143116
102213340
111281a08
128a8a50
135c658c
1441887a
152dac10
hex21c5dc

2213340 has 48 divisors (see below), whose sum is σ = 6371232. Its totient is φ = 573696.

The previous prime is 2213327. The next prime is 2213347. The reversal of 2213340 is 433122.

2213340 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213347) 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 15 ways as a sum of consecutive naturals, for example, 1722 + ... + 2718.

It is an arithmetic number, because the mean of its divisors is an integer number (132734).

22213340 is an apocalyptic number.

2213340 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 2213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185616).

2213340 is an abundant number, since it is smaller than the sum of its proper divisors (4157892).

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

2213340 is a wasteful number, since it uses less digits than its factorization.

2213340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2213340 is about 1487.7298141800. The cubic root of 2213340 is about 130.3214922571.

Adding to 2213340 its reverse (433122), we get a palindrome (2646462).

The spelling of 2213340 in words is "two million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 997 1110 1994 2220 2991 3988 4985 5982 9970 11964 14955 19940 29910 36889 59820 73778 110667 147556 184445 221334 368890 442668 553335 737780 1106670 2213340