Search a number
-
+
10233232144 = 241761616757
BaseRepresentation
bin10011000011111001…
…01011101100010000
3222102011122001110221
421201330223230100
5131424201412034
64411233402424
7511406016022
oct114174535420
928364561427
1010233232144
114381435853
121b97109414
13c7110b965
146d1116012
153ed5cdbb4
hex261f2bb10

10233232144 has 40 divisors (see below), whose sum is σ = 21337359768. Its totient is φ = 4736686080.

The previous prime is 10233232073. The next prime is 10233232223. The reversal of 10233232144 is 44123233201.

It can be written as a sum of positive squares in 4 ways, for example, as 1418275600 + 8814956544 = 37660^2 + 93888^2 .

It is a super-2 number, since 2×102332321442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291787 + ... + 324970.

Almost surely, 210233232144 is an apocalyptic number.

It is an amenable number.

10233232144 is an abundant number, since it is smaller than the sum of its proper divisors (11104127624).

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

10233232144 is a wasteful number, since it uses less digits than its factorization.

10233232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616843 (or 616837 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10233232144 its reverse (44123233201), we get a palindrome (54356465345).

The spelling of 10233232144 in words is "ten billion, two hundred thirty-three million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 2074 4148 8296 16592 616757 1233514 2467028 4934056 9868112 10484869 20969738 37622177 41939476 75244354 83878952 150488708 167757904 300977416 601954832 639577009 1279154018 2558308036 5116616072 10233232144