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23245824 = 210372347
BaseRepresentation
bin101100010101…
…1010000000000
31121202000021110
41120223100000
521422331244
62150123320
7401405040
oct130532000
947660243
1023245824
1112137a28
127950540
134a7b934
143131720
1520929b9
hex162b400

23245824 has 176 divisors, whose sum is σ = 75460608. Its totient is φ = 6217728.

The previous prime is 23245813. The next prime is 23245883. The reversal of 23245824 is 42854232.

It is a junction number, because it is equal to n+sod(n) for n = 23245791 and 23245800.

It is a congruent number.

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, 494569 + ... + 494615.

Almost surely, 223245824 is an apocalyptic number.

23245824 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 23245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37730304).

23245824 is an abundant number, since it is smaller than the sum of its proper divisors (52214784).

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

23245824 is a wasteful number, since it uses less digits than its factorization.

23245824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 23245824 is about 4821.3923300225. The cubic root of 23245824 is about 285.3962846712.

It can be divided in two parts, 232 and 45824, that added together give a triangular number (46056 = T303).

The spelling of 23245824 in words is "twenty-three million, two hundred forty-five thousand, eight hundred twenty-four".