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2219340 = 223547787
BaseRepresentation
bin1000011101110101001100
311011202100210
420131311030
51032004330
6115322420
724602244
oct10356514
94152323
102219340
111286472
128b0410
135c9226
1441ab24
152dc8b0
hex21dd4c

2219340 has 48 divisors (see below), whose sum is σ = 6354432. Its totient is φ = 578496.

The previous prime is 2219323. The next prime is 2219351. The reversal of 2219340 is 439122.

2219340 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 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 15 ways as a sum of consecutive naturals, for example, 2427 + ... + 3213.

It is an arithmetic number, because the mean of its divisors is an integer number (132384).

22219340 is an apocalyptic number.

2219340 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 2219340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177216).

2219340 is an abundant number, since it is smaller than the sum of its proper divisors (4135092).

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

2219340 is a wasteful number, since it uses less digits than its factorization.

2219340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2219340 is about 1489.7449446130. The cubic root of 2219340 is about 130.4391460376.

The spelling of 2219340 in words is "two million, two hundred nineteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 787 940 1410 1574 2361 2820 3148 3935 4722 7870 9444 11805 15740 23610 36989 47220 73978 110967 147956 184945 221934 369890 443868 554835 739780 1109670 2219340