Search a number
-
+
23720224 = 251179853
BaseRepresentation
bin101101001111…
…1000100100000
31122122010000211
41122133010200
522033021344
62204223504
7405422113
oct132370440
948563024
1023720224
11124313a0
127b3ab94
134bb6848
14321657a
152138334
hex169f120

23720224 has 48 divisors (see below), whose sum is σ = 51649920. Its totient is φ = 10632960.

The previous prime is 23720209. The next prime is 23720237. The reversal of 23720224 is 42202732.

It is a super-2 number, since 2×237202242 = 1125298053220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23720195 and 23720204.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27382 + ... + 28234.

It is an arithmetic number, because the mean of its divisors is an integer number (1076040).

Almost surely, 223720224 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 23720224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25824960).

23720224 is an abundant number, since it is smaller than the sum of its proper divisors (27929696).

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

23720224 is a wasteful number, since it uses less digits than its factorization.

23720224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 23720224 is about 4870.3412611438. The cubic root of 23720224 is about 287.3246779847.

Adding to 23720224 its reverse (42202732), we get a palindrome (65922956).

The spelling of 23720224 in words is "twenty-three million, seven hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 853 869 1264 1706 1738 2528 3412 3476 6824 6952 9383 13648 13904 18766 27296 27808 37532 67387 75064 134774 150128 269548 300256 539096 741257 1078192 1482514 2156384 2965028 5930056 11860112 23720224