Search a number
-
+
110233024 = 2611315051
BaseRepresentation
bin1101001001000…
…00010111000000
321200102102021121
412210200113000
5211204424044
614534402024
72505652036
oct644402700
9250372247
10110233024
1157250780
1230b00314
1319ab7455
14108d6556
159a26984
hex69205c0

110233024 has 56 divisors (see below), whose sum is σ = 246375936. Its totient is φ = 48480000.

The previous prime is 110233009. The next prime is 110233061. The reversal of 110233024 is 420332011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110232989 and 110233007.

It is a congruent number.

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, 19299 + ... + 24349.

Almost surely, 2110233024 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 110233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123187968).

110233024 is an abundant number, since it is smaller than the sum of its proper divisors (136142912).

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

110233024 is a wasteful number, since it uses less digits than its factorization.

110233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 110233024 is about 10499.1915879271. The cubic root of 110233024 is about 479.4800852027.

Adding to 110233024 its reverse (420332011), we get a palindrome (530565035).

The spelling of 110233024 in words is "one hundred ten million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 5051 5456 10102 10912 20204 21824 40408 55561 80816 111122 156581 161632 222244 313162 323264 444488 626324 888976 1252648 1722391 1777952 2505296 3444782 3555904 5010592 6889564 10021184 13779128 27558256 55116512 110233024