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2232240 = 243571131
BaseRepresentation
bin1000100000111110110000
311012102001120
420200332300
51032412430
6115502240
724654663
oct10407660
94172046
102232240
11129512a
128b7980
1360206a
144216da
152e1610
hex220fb0

2232240 has 80 divisors (see below), whose sum is σ = 7070976. Its totient is φ = 582400.

The previous prime is 2232229. The next prime is 2232257. The reversal of 2232240 is 422322.

2232240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22322403 = 33369055400950272000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16975 + ... + 17105.

22232240 is an apocalyptic number.

2232240 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 2232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488).

2232240 is an abundant number, since it is smaller than the sum of its proper divisors (4838736).

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

2232240 is a wasteful number, since it uses less digits than its factorization.

2232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2232240 is about 1494.0682715325. The cubic root of 2232240 is about 130.6913854850.

Adding to 2232240 its reverse (422322), we get a palindrome (2654562).

The spelling of 2232240 in words is "two million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 131 142 213 240 262 284 355 393 426 524 568 655 710 786 852 1048 1065 1136 1310 1420 1572 1704 1965 2096 2130 2620 2840 3144 3408 3930 4260 5240 5680 6288 7860 8520 9301 10480 15720 17040 18602 27903 31440 37204 46505 55806 74408 93010 111612 139515 148816 186020 223224 279030 372040 446448 558060 744080 1116120 2232240