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2232272 = 247191049
BaseRepresentation
bin1000100000111111010000
311012102002202
420200333100
51032413042
6115502332
724655040
oct10407720
94172082
102232272
111295159
128b79a8
13602093
14421720
152e1632
hex220fd0

2232272 has 40 divisors (see below), whose sum is σ = 5208000. Its totient is φ = 905472.

The previous prime is 2232271. The next prime is 2232281. The reversal of 2232272 is 2722322.

2232272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22322723 = 33370490495402962944, which contains 333 as substring.

It is a d-powerful number, because it can be written as 22 + 25 + 33 + 210 + 214 + 76 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1604 + ... + 2652.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

22232272 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 2232272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604000).

2232272 is an abundant number, since it is smaller than the sum of its proper divisors (2975728).

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

2232272 is a wasteful number, since it uses less digits than its factorization.

2232272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1077 counting only the distinct ones).

The product of its digits is 672, while the sum is 20.

The square root of 2232272 is about 1494.0789805094. The cubic root of 2232272 is about 130.6920099854.

Adding to 2232272 its reverse (2722322), we get a palindrome (4954594).

The spelling of 2232272 in words is "two million, two hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1049 1064 2098 2128 4196 7343 8392 14686 16784 19931 29372 39862 58744 79724 117488 139517 159448 279034 318896 558068 1116136 2232272