Search a number
-
+
53223144 = 23313179953
BaseRepresentation
bin1100101100000…
…1111011101000
310201011000102120
43023001323220
5102111120034
65140431240
71214250342
oct313017350
9121130376
1053223144
1128052377
12159a8520
13b0464b0
1470d6292
154a14c49
hex32c1ee8

53223144 has 64 divisors (see below), whose sum is σ = 144244800. Its totient is φ = 16267776.

The previous prime is 53223143. The next prime is 53223151. The reversal of 53223144 is 44132235.

53223144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53223143) 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 15 ways as a sum of consecutive naturals, for example, 55372 + ... + 56324.

It is an arithmetic number, because the mean of its divisors is an integer number (2253825).

Almost surely, 253223144 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 53223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72122400).

53223144 is an abundant number, since it is smaller than the sum of its proper divisors (91021656).

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

53223144 is a wasteful number, since it uses less digits than its factorization.

53223144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1150 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 53223144 is about 7295.4193847921. The cubic root of 53223144 is about 376.1550024879.

Adding to 53223144 its reverse (44132235), we get a palindrome (97355379).

Subtracting from 53223144 its reverse (44132235), we obtain a palindrome (9090909).

The spelling of 53223144 in words is "fifty-three million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 179 312 358 537 716 953 1074 1432 1906 2148 2327 2859 3812 4296 4654 5718 6981 7624 9308 11436 12389 13962 18616 22872 24778 27924 37167 49556 55848 74334 99112 148668 170587 297336 341174 511761 682348 1023522 1364696 2047044 2217631 4094088 4435262 6652893 8870524 13305786 17741048 26611572 53223144