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23224104 = 2333791361
BaseRepresentation
bin101100010010…
…1111100101000
31121200220111000
41120211330220
521421132404
62145435000
7401254521
oct130457450
947626430
1023224104
1112122682
12793ba60
134a71a97
143127848
15208b339
hex1625f28

23224104 has 64 divisors (see below), whose sum is σ = 65376000. Its totient is φ = 7637760.

The previous prime is 23224087. The next prime is 23224129. The reversal of 23224104 is 40142232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16384 + ... + 17744.

It is an arithmetic number, because the mean of its divisors is an integer number (1021500).

Almost surely, 223224104 is an apocalyptic number.

23224104 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 23224104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32688000).

23224104 is an abundant number, since it is smaller than the sum of its proper divisors (42151896).

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

23224104 is a wasteful number, since it uses less digits than its factorization.

23224104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23224104 is about 4819.1393422477. The cubic root of 23224104 is about 285.3073692177.

Adding to 23224104 its reverse (40142232), we get a palindrome (63366336).

It can be divided in two parts, 232 and 24104, that added together give a square (24336 = 1562).

The spelling of 23224104 in words is "twenty-three million, two hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1361 1422 1896 2133 2722 2844 4083 4266 5444 5688 8166 8532 10888 12249 16332 17064 24498 32664 36747 48996 73494 97992 107519 146988 215038 293976 322557 430076 645114 860152 967671 1290228 1935342 2580456 2903013 3870684 5806026 7741368 11612052 23224104