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10233000344 = 237612995609
BaseRepresentation
bin10011000011110111…
…10011000110011000
3222102011012021111202
421201323303012120
5131424122002334
64411224413332
7511404032150
oct114173630630
928364167452
1010233000344
114381297686
121b97017248
13c7105a2b8
146d1095760
153ed58517e
hex261ef3198

10233000344 has 32 divisors (see below), whose sum is σ = 22287338400. Its totient is φ = 4313675520.

The previous prime is 10233000313. The next prime is 10233000347. The reversal of 10233000344 is 44300033201.

10233000344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233000347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1494389 + ... + 1501220.

It is an arithmetic number, because the mean of its divisors is an integer number (696479325).

Almost surely, 210233000344 is an apocalyptic number.

10233000344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10233000344 is an abundant number, since it is smaller than the sum of its proper divisors (12054338056).

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

10233000344 is a wasteful number, since it uses less digits than its factorization.

10233000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995683 (or 2995679 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10233000344 its reverse (44300033201), we get a palindrome (54533033545).

The spelling of 10233000344 in words is "ten billion, two hundred thirty-three million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 3416 2995609 5991218 11982436 20969263 23964872 41938526 83877052 167754104 182732149 365464298 730928596 1279125043 1461857192 2558250086 5116500172 10233000344