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23378500 = 225346757
BaseRepresentation
bin101100100101…
…1101001000100
31121222202021101
41121023221010
521441103000
62153025444
7402466615
oct131135104
947882241
1023378500
1112218682
1279b5284
134ac7142
143167c0c
1520bbe6a
hex164ba44

23378500 has 24 divisors (see below), whose sum is σ = 51059736. Its totient is φ = 9351200.

The previous prime is 23378489. The next prime is 23378501. The reversal of 23378500 is 587332.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 23348224 = 174^2 + 4832^2 .

It is not an unprimeable number, because it can be changed into a prime (23378501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22879 + ... + 23878.

It is an arithmetic number, because the mean of its divisors is an integer number (2127489).

Almost surely, 223378500 is an apocalyptic number.

23378500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23378500 is an abundant number, since it is smaller than the sum of its proper divisors (27681236).

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

23378500 is a wasteful number, since it uses less digits than its factorization.

23378500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46776 (or 46764 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 23378500 is about 4835.1318492881. The cubic root of 23378500 is about 285.9382232456.

The spelling of 23378500 in words is "twenty-three million, three hundred seventy-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 46757 93514 187028 233785 467570 935140 1168925 2337850 4675700 5844625 11689250 23378500