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2213232 = 24372941
BaseRepresentation
bin1000011100010101110000
311011102222120
420130111300
51031310412
6115234240
724545400
oct10342560
94142876
102213232
11128191a
128a8980
135c6508
14418800
152dab8c
hex21c570

2213232 has 60 divisors (see below), whose sum is σ = 6658056. Its totient is φ = 631680.

The previous prime is 2213209. The next prime is 2213243. The reversal of 2213232 is 2323122.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1882 + ... + 2822.

22213232 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 2213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329028).

2213232 is an abundant number, since it is smaller than the sum of its proper divisors (4444824).

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

2213232 is a wasteful number, since it uses less digits than its factorization.

2213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 953 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 2213232 is about 1487.6935168239. The cubic root of 2213232 is about 130.3193725421.

Adding to 2213232 its reverse (2323122), we get a palindrome (4536354).

The spelling of 2213232 in words is "two million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 941 1176 1882 2352 2823 3764 5646 6587 7528 11292 13174 15056 19761 22584 26348 39522 45168 46109 52696 79044 92218 105392 138327 158088 184436 276654 316176 368872 553308 737744 1106616 2213232