Search a number
-
+
10233434000 = 24535116717
BaseRepresentation
bin10011000011111010…
…11100111110010000
3222102012000022101002
421201331130332100
5131424224342000
64411242001132
7511410516356
oct114175347620
928365008332
1010233434000
114381563479
121b971a61a8
13c7117c7ba
146d11697d6
153ed61d8d5
hex261f5cf90

10233434000 has 40 divisors (see below), whose sum is σ = 24744448248. Its totient is φ = 4093372800.

The previous prime is 10233433967. The next prime is 10233434009. The reversal of 10233434000 is 43433201.

It can be written as a sum of positive squares in 4 ways, for example, as 653722624 + 9579711376 = 25568^2 + 97876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10233434009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2556359 + ... + 2560358.

Almost surely, 210233434000 is an apocalyptic number.

10233434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233434000 is an abundant number, since it is smaller than the sum of its proper divisors (14511014248).

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

10233434000 is an equidigital number, since it uses as much as digits as its factorization.

10233434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116740 (or 5116724 counting only the distinct ones).

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

Adding to 10233434000 its reverse (43433201), we get a palindrome (10276867201).

The spelling of 10233434000 in words is "ten billion, two hundred thirty-three million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5116717 10233434 20466868 25583585 40933736 51167170 81867472 102334340 127917925 204668680 255835850 409337360 511671700 639589625 1023343400 1279179250 2046686800 2558358500 5116717000 10233434000