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23193248 = 2513127439
BaseRepresentation
bin101100001111…
…0011010100000
31121122100011012
41120132122200
521414140443
62145040052
7401065541
oct130363240
947570135
1023193248
1112101481
127926028
134a60a20
14311a4c8
152082118
hex161e6a0

23193248 has 48 divisors (see below), whose sum is σ = 49674240. Its totient is φ = 10596096.

The previous prime is 23193227. The next prime is 23193259. The reversal of 23193248 is 84239132.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 52613 + ... + 53051.

It is an arithmetic number, because the mean of its divisors is an integer number (1034880).

Almost surely, 223193248 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 23193248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

23193248 is an abundant number, since it is smaller than the sum of its proper divisors (26480992).

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

23193248 is a wasteful number, since it uses less digits than its factorization.

23193248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 23193248 is about 4815.9368766627. The cubic root of 23193248 is about 285.1809582286.

The spelling of 23193248 in words is "twenty-three million, one hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 127 208 254 416 439 508 878 1016 1651 1756 2032 3302 3512 4064 5707 6604 7024 11414 13208 14048 22828 26416 45656 52832 55753 91312 111506 182624 223012 446024 724789 892048 1449578 1784096 2899156 5798312 11596624 23193248