Search a number
-
+
23092224 = 21037517
BaseRepresentation
bin101100000010…
…1110000000000
31121110012120120
41120011300000
521402422344
62142540240
7400165161
oct130056000
947405516
1023092224
1112042591
127897680
134a26a4c
1430d1768
152062219
hex1605c00

23092224 has 44 divisors (see below), whose sum is σ = 61557384. Its totient is φ = 7696384.

The previous prime is 23092193. The next prime is 23092243. The reversal of 23092224 is 42229032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23092194 and 23092203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 687 + ... + 6830.

Almost surely, 223092224 is an apocalyptic number.

23092224 is a gapful number since it is divisible by the number (24) 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 23092224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30778692).

23092224 is an abundant number, since it is smaller than the sum of its proper divisors (38465160).

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

23092224 is an equidigital number, since it uses as much as digits as its factorization.

23092224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23092224 is about 4805.4369208221. The cubic root of 23092224 is about 284.7662965629.

The spelling of 23092224 in words is "twenty-three million, ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 7517 15034 22551 30068 45102 60136 90204 120272 180408 240544 360816 481088 721632 962176 1443264 1924352 2886528 3848704 5773056 7697408 11546112 23092224