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2222160 = 243547197
BaseRepresentation
bin1000011110100001010000
311011220020020
420132201100
51032102120
6115343440
724613413
oct10364120
94156206
102222160
1112885a6
128b1b80
135ca5b5
1441bb7a
152dd640
hex21e850

2222160 has 80 divisors (see below), whose sum is σ = 7070976. Its totient is φ = 577024.

The previous prime is 2222147. The next prime is 2222167. The reversal of 2222160 is 612222.

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

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 (2222167) 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, 11182 + ... + 11378.

22222160 is an apocalyptic number.

2222160 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 2222160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488).

2222160 is an abundant number, since it is smaller than the sum of its proper divisors (4848816).

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

2222160 is a wasteful number, since it uses less digits than its factorization.

2222160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2222160 is about 1490.6911148860. The cubic root of 2222160 is about 130.4943700688.

Adding to 2222160 its reverse (612222), we get a palindrome (2834382).

The spelling of 2222160 in words is "two million, two hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 197 235 240 282 376 394 470 564 591 705 752 788 940 985 1128 1182 1410 1576 1880 1970 2256 2364 2820 2955 3152 3760 3940 4728 5640 5910 7880 9259 9456 11280 11820 15760 18518 23640 27777 37036 46295 47280 55554 74072 92590 111108 138885 148144 185180 222216 277770 370360 444432 555540 740720 1111080 2222160