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23214048 = 25311131989
BaseRepresentation
bin101100010001…
…1011111100000
31121200101200120
41120203133200
521420322143
62145320240
7401213304
oct130433740
947611616
1023214048
1112116070
127936080
134a6a330
143123d04
152088383
hex16237e0

23214048 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 6082560.

The previous prime is 23214047. The next prime is 23214083. The reversal of 23214048 is 84041232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260788 + ... + 260876.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 223214048 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 23214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

23214048 is an abundant number, since it is smaller than the sum of its proper divisors (52990752).

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

23214048 is a wasteful number, since it uses less digits than its factorization.

23214048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 23214048 is about 4818.0958894567. The cubic root of 23214048 is about 285.2661840608.

The spelling of 23214048 in words is "twenty-three million, two hundred fourteen thousand, forty-eight".