Search a number
-
+
23264829090 = 2325258498101
BaseRepresentation
bin10101101010101100…
…010001111010100010
32020001100212202210200
4111222230101322202
5340121244012330
614404314010030
71452344533026
oct255254217242
966040782720
1023264829090
119959431488
124613416916
132269bc4479
1411a9b48386
159126c2a60
hex56ab11ea2

23264829090 has 24 divisors (see below), whose sum is σ = 60488555868. Its totient is φ = 6203954400.

The previous prime is 23264829089. The next prime is 23264829149. The reversal of 23264829090 is 9092846232.

23264829090 is a `hidden beast` number, since 232 + 6 + 48 + 290 + 90 = 666.

23264829090 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23100656121 + 164172969 = 151989^2 + 12813^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 129248961 + ... + 129249140.

Almost surely, 223264829090 is an apocalyptic number.

23264829090 is an abundant number, since it is smaller than the sum of its proper divisors (37223726778).

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

23264829090 is a wasteful number, since it uses less digits than its factorization.

23264829090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258498114 (or 258498111 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 23264829090 in words is "twenty-three billion, two hundred sixty-four million, eight hundred twenty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 258498101 516996202 775494303 1292490505 1550988606 2326482909 2584981010 3877471515 4652965818 7754943030 11632414545 23264829090