Search a number
-
+
22949248 = 27723659
BaseRepresentation
bin101011110001…
…0110110000000
31121011221110011
41113202312000
521333333443
62135514304
7366031300
oct127426600
947157404
1022949248
1111a55123
127828994
1349a694a
143095600
152034b9d
hex15e2d80

22949248 has 48 divisors (see below), whose sum is σ = 53198100. Its totient is φ = 9832704.

The previous prime is 22949233. The next prime is 22949249. The reversal of 22949248 is 84294922.

It is a self number, because there is not a number n which added to its sum of digits gives 22949248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22949249) 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 5 ways as a sum of consecutive naturals, for example, 4443 + ... + 8101.

Almost surely, 222949248 is an apocalyptic number.

22949248 is a gapful number since it is divisible by the number (28) 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 22949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26599050).

22949248 is an abundant number, since it is smaller than the sum of its proper divisors (30248852).

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

22949248 is an equidigital number, since it uses as much as digits as its factorization.

22949248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3668 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 22949248 is about 4790.5373393806. The cubic root of 22949248 is about 284.1773672190.

The spelling of 22949248 in words is "twenty-two million, nine hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 3659 6272 7318 14636 25613 29272 51226 58544 102452 117088 179291 204904 234176 358582 409808 468352 717164 819616 1434328 1639232 2868656 3278464 5737312 11474624 22949248