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2240472 = 2331343167
BaseRepresentation
bin1000100010111111011000
311012211100110
420202333120
51033143342
6120004320
725020663
oct10427730
94184313
102240472
1112a0333
129006a0
13605a30
144246da
152e3c9c
hex222fd8

2240472 has 64 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 669312.

The previous prime is 2240471. The next prime is 2240477. The reversal of 2240472 is 2740422.

2240472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13333 + ... + 13499.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

22240472 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 2240472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2240472 is an abundant number, since it is smaller than the sum of its proper divisors (3968808).

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

2240472 is a wasteful number, since it uses less digits than its factorization.

2240472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2240472 is about 1496.8206305366. The cubic root of 2240472 is about 130.8518419008.

Adding to 2240472 its reverse (2740422), we get a palindrome (4980894).

The spelling of 2240472 in words is "two million, two hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 167 172 258 312 334 344 501 516 559 668 1002 1032 1118 1336 1677 2004 2171 2236 3354 4008 4342 4472 6513 6708 7181 8684 13026 13416 14362 17368 21543 26052 28724 43086 52104 57448 86172 93353 172344 186706 280059 373412 560118 746824 1120236 2240472