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10232243424 = 25321317373431
BaseRepresentation
bin10011000011110001…
…11010010011100000
3222102002202211012200
421201320322103200
5131423423242144
64411200253200
7511364430324
oct114170722340
928362684180
1010232243424
11438091aa27
121b96911200
13c70b53910
146d0d39984
153ed485c69
hex261e3a4e0

10232243424 has 288 divisors, whose sum is σ = 33345696384. Its totient is φ = 2948382720.

The previous prime is 10232243423. The next prime is 10232243521. The reversal of 10232243424 is 42434223201.

10232243424 is a `hidden beast` number, since 1 + 0 + 232 + 2 + 4 + 3 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232243423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23740489 + ... + 23740919.

It is an arithmetic number, because the mean of its divisors is an integer number (115783668).

Almost surely, 210232243424 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 10232243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672848192).

10232243424 is an abundant number, since it is smaller than the sum of its proper divisors (23113452960).

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

10232243424 is a wasteful number, since it uses less digits than its factorization.

10232243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10232243424 its reverse (42434223201), we get a palindrome (52666466625).

The spelling of 10232243424 in words is "ten billion, two hundred thirty-two million, two hundred forty-three thousand, four hundred twenty-four".