Search a number
-
+
10233152 = 261271259
BaseRepresentation
bin100111000010…
…010101000000
3201020220020122
4213002111000
510104430102
61003155412
7152660156
oct47022500
921226218
1010233152
11585a356
123515b68
132173a27
1415053d6
15d720a2
hex9c2540

10233152 has 28 divisors (see below), whose sum is σ = 20482560. Its totient is φ = 5072256.

The previous prime is 10233151. The next prime is 10233161. The reversal of 10233152 is 25133201.

10233152 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 10233152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7499 + ... + 8757.

It is an arithmetic number, because the mean of its divisors is an integer number (731520).

Almost surely, 210233152 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 10233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241280).

10233152 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10233152 is a wasteful number, since it uses less digits than its factorization.

10233152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 10233152 is about 3198.9298210495. The cubic root of 10233152 is about 217.1049914187.

Adding to 10233152 its reverse (25133201), we get a palindrome (35366353).

The spelling of 10233152 in words is "ten million, two hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 1259 2032 2518 4064 5036 8128 10072 20144 40288 80576 159893 319786 639572 1279144 2558288 5116576 10233152