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23431144 = 23111491787
BaseRepresentation
bin101100101100…
…0011111101000
31122002102111011
41121120133220
521444244034
62154113304
7403106242
oct131303750
948072434
1023431144
1112254190
127a1b834
134b150a9
14317d092
1520cc864
hex16587e8

23431144 has 32 divisors (see below), whose sum is σ = 48276000. Its totient is φ = 10573120.

The previous prime is 23431139. The next prime is 23431147. The reversal of 23431144 is 44113432.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23431147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12219 + ... + 14005.

It is an arithmetic number, because the mean of its divisors is an integer number (1508625).

Almost surely, 223431144 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 23431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24138000).

23431144 is an abundant number, since it is smaller than the sum of its proper divisors (24844856).

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

23431144 is a wasteful number, since it uses less digits than its factorization.

23431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1949 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 23431144 is about 4840.5726933907. The cubic root of 23431144 is about 286.1526887751.

Adding to 23431144 its reverse (44113432), we get a palindrome (67544576).

The spelling of 23431144 in words is "twenty-three million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 149 298 596 1192 1639 1787 3278 3574 6556 7148 13112 14296 19657 39314 78628 157256 266263 532526 1065052 2130104 2928893 5857786 11715572 23431144