[go: up one dir, main page]

Search a number
-
+
110223664 = 24291391709
BaseRepresentation
bin1101001000111…
…10000100110000
321200101221102221
412210132010300
5211204124124
614534250424
72505612535
oct644360460
9250357387
10110223664
1157244741
1230ab6a14
1319ab3105
14108d2d8c
159a23ce4
hex691e130

110223664 has 40 divisors (see below), whose sum is σ = 222642000. Its totient is φ = 52797696.

The previous prime is 110223661. The next prime is 110223683. The reversal of 110223664 is 466322011.

It is a super-2 number, since 2×1102236642 = 24298512211169792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110223661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63642 + ... + 65350.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050).

Almost surely, 2110223664 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 110223664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111321000).

110223664 is an abundant number, since it is smaller than the sum of its proper divisors (112418336).

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

110223664 is a wasteful number, since it uses less digits than its factorization.

110223664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 110223664 is about 10498.7458298599. The cubic root of 110223664 is about 479.4665137687.

Adding to 110223664 its reverse (466322011), we get a palindrome (576545675).

The spelling of 110223664 in words is "one hundred ten million, two hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 139 232 278 464 556 1112 1709 2224 3418 4031 6836 8062 13672 16124 27344 32248 49561 64496 99122 198244 237551 396488 475102 792976 950204 1900408 3800816 6888979 13777958 27555916 55111832 110223664