Search a number
-
+
102223436176 = 2467211932
BaseRepresentation
bin101111100110011111…
…1011101100110010000
3100202212010102121021201
41133030333131212100
53133323144424201
6114543311000544
710246122604501
oct1371477354620
9322763377251
10102223436176
113a397512664
121798a509154
139841358554
144d3a47cba8
1529d4535801
hex17ccfdd990

102223436176 has 45 divisors (see below), whose sum is σ = 201226789281. Its totient is φ = 50306653056.

The previous prime is 102223436153. The next prime is 102223436281. The reversal of 102223436176 is 671634322201.

The square root of 102223436176 is 319724.

It is a perfect power (a square), and thus also a powerful number.

102223436176 is digitally balanced in base 3, 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 only one way, i.e., 52505139600 + 49718296576 = 229140^2 + 222976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85685436 + ... + 85686628.

Almost surely, 2102223436176 is an apocalyptic number.

102223436176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102223436176 is the 319724-th square number.

It is an amenable number.

102223436176 is a deficient number, since it is larger than the sum of its proper divisors (99003353105).

102223436176 is an frugal number, since it uses more digits than its factorization.

102223436176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

Adding to 102223436176 its reverse (671634322201), we get a palindrome (773857758377).

The spelling of 102223436176 in words is "one hundred two billion, two hundred twenty-three million, four hundred thirty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 67 134 268 536 1072 1193 2386 4489 4772 8978 9544 17956 19088 35912 71824 79931 159862 319724 639448 1278896 1423249 2846498 5355377 5692996 10710754 11385992 21421508 22771984 42843016 85686032 95357683 190715366 381430732 762861464 1525722928 6388964761 12777929522 25555859044 51111718088 102223436176