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2239952 = 241121389
BaseRepresentation
bin1000100010110111010000
311012210122012
420202313100
51033134302
6120002052
725016321
oct10426720
94183565
102239952
11129aa00
12900328
13605720
14424448
152e3a52
hex222dd0

2239952 has 60 divisors (see below), whose sum is σ = 5194980. Its totient is φ = 929280.

The previous prime is 2239949. The next prime is 2239957. The reversal of 2239952 is 2599322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 1860496 = 616^2 + 1364^2 .

It is a d-powerful number, because it can be written as 22 + 218 + 312 + 9 + 96 + 58 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2239957) 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, 25124 + ... + 25212.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

22239952 is an apocalyptic number.

2239952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2239952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597490).

2239952 is an abundant number, since it is smaller than the sum of its proper divisors (2955028).

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

2239952 is a wasteful number, since it uses less digits than its factorization.

2239952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 2239952 is about 1496.6469189492. The cubic root of 2239952 is about 130.8417178105.

The spelling of 2239952 in words is "two million, two hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 89 104 121 143 176 178 208 242 286 356 484 572 712 968 979 1144 1157 1424 1573 1936 1958 2288 2314 3146 3916 4628 6292 7832 9256 10769 12584 12727 15664 18512 21538 25168 25454 43076 50908 86152 101816 139997 172304 203632 279994 559988 1119976 2239952