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2224140 = 2235191951
BaseRepresentation
bin1000011111000000001100
311011222221120
420133000030
51032133030
6115400540
724622242
oct10370014
94158846
102224140
11128a036
128b3150
135cb479
1441c792
152de010
hex21f00c

2224140 has 48 divisors (see below), whose sum is σ = 6558720. Its totient is φ = 561600.

The previous prime is 2224099. The next prime is 2224141. The reversal of 2224140 is 414222.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2224141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (136640).

22224140 is an apocalyptic number.

2224140 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 2224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279360).

2224140 is an abundant number, since it is smaller than the sum of its proper divisors (4334580).

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

2224140 is a wasteful number, since it uses less digits than its factorization.

2224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2224140 is about 1491.3550885017. The cubic root of 2224140 is about 130.5331164762.

Adding to 2224140 its reverse (414222), we get a palindrome (2638362).

The spelling of 2224140 in words is "two million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1951 3902 5853 7804 9755 11706 19510 23412 29265 37069 39020 58530 74138 111207 117060 148276 185345 222414 370690 444828 556035 741380 1112070 2224140