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23224320 = 2133457
BaseRepresentation
bin101100010011…
…0000000000000
31121200220210000
41120212000000
521421134240
62145440000
7401255250
oct130460000
947626700
1023224320
1112122859
127940000
134a71c02
143127960
15208b430
hex1626000

23224320 has 280 divisors, whose sum is σ = 95152464. Its totient is φ = 5308416.

The previous prime is 23224309. The next prime is 23224351. The reversal of 23224320 is 2342232.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (2!)6.

23224320 is a `hidden beast` number, since 232 + 2 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a junction number, because it is equal to n+sod(n) for n = 23224293 and 23224302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317757 + ... + 3317763.

Almost surely, 223224320 is an apocalyptic number.

23224320 is a gapful number since it is divisible by the number (20) 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 23224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47576232).

23224320 is an abundant number, since it is smaller than the sum of its proper divisors (71928144).

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

23224320 is an frugal number, since it uses more digits than its factorization.

23224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23224320 is about 4819.1617528363. The cubic root of 23224320 is about 285.3082537326.

Adding to 23224320 its reverse (2342232), we get a palindrome (25566552).

The spelling of 23224320 in words is "twenty-three million, two hundred twenty-four thousand, three hundred twenty".