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2212272 = 2435569
BaseRepresentation
bin1000011100000110110000
311011101200000
420130012300
51031243042
6115230000
724542526
oct10340660
94141600
102212272
111281127
128a8300
135c5c4a
14418316
152da74c
hex21c1b0

2212272 has 60 divisors (see below), whose sum is σ = 6431880. Its totient is φ = 736128.

The previous prime is 2212271. The next prime is 2212277. The reversal of 2212272 is 2722122.

It is a happy number.

2212272 is digitally balanced in base 5, 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 (18).

It is a d-powerful number, because it can be written as 23 + 215 + 1 + 216 + 220 + 75 + 220 .

It is not an unprimeable number, because it can be changed into a prime (2212271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3604 + ... + 4172.

It is an arithmetic number, because the mean of its divisors is an integer number (107198).

22212272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215940).

2212272 is an abundant number, since it is smaller than the sum of its proper divisors (4219608).

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

2212272 is an equidigital number, since it uses as much as digits as its factorization.

2212272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 574 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 2212272 is about 1487.3708347282. The cubic root of 2212272 is about 130.3005275994.

Adding to 2212272 its reverse (2722122), we get a palindrome (4934394).

The spelling of 2212272 in words is "two million, two hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 569 648 972 1138 1296 1707 1944 2276 3414 3888 4552 5121 6828 9104 10242 13656 15363 20484 27312 30726 40968 46089 61452 81936 92178 122904 138267 184356 245808 276534 368712 553068 737424 1106136 2212272