Search a number
-
+
2288472 = 233177179
BaseRepresentation
bin1000101110101101011000
311022021012020
420232231120
51041212342
6121014440
725310634
oct10565530
94267166
102288472
1113233aa
12924420
13621834
14437dc4
153030ec
hex22eb58

2288472 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 698880.

The previous prime is 2288471. The next prime is 2288479. The reversal of 2288472 is 2748822.

2288472 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 (2288471) 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, 28929 + ... + 29007.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22288472 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 2288472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2288472 is an abundant number, since it is smaller than the sum of its proper divisors (3932328).

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

2288472 is a wasteful number, since it uses less digits than its factorization.

2288472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 2288472 is about 1512.7696453856. The cubic root of 2288472 is about 131.7797060192.

The spelling of 2288472 in words is "two million, two hundred eighty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 79 102 136 142 158 204 213 237 284 316 408 426 474 568 632 852 948 1207 1343 1704 1896 2414 2686 3621 4029 4828 5372 5609 7242 8058 9656 10744 11218 14484 16116 16827 22436 28968 32232 33654 44872 67308 95353 134616 190706 286059 381412 572118 762824 1144236 2288472