Search a number
-
+
232270019136 = 26324324672
BaseRepresentation
bin1101100001010001011…
…1110011101001000000
3211012112022000111201100
43120110113303221000
512301142111103021
6254411532334400
722531603405311
oct3302427635100
9735468014640
10232270019136
118a561409201
1239022914400
1318b97a9005c
14b355bd2608
1560964eb626
hex36145f3a40

232270019136 has 189 divisors, whose sum is σ = 683065590051. Its totient is φ = 75460863744.

The previous prime is 232270019129. The next prime is 232270019171. The reversal of 232270019136 is 631910072232.

The square root of 232270019136 is 481944.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 232270019136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 497365975 + ... + 497366441.

Almost surely, 2232270019136 is an apocalyptic number.

232270019136 is the 481944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232270019136

232270019136 is an abundant number, since it is smaller than the sum of its proper divisors (450795570915).

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

232270019136 is an frugal number, since it uses more digits than its factorization.

232270019136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 232270019136 by its sum of digits (36), we get a square (8361720688896 = 28916642).

232270019136 divided by its sum of digits (36) gives a square (6451944976 = 803242).

The spelling of 232270019136 in words is "two hundred thirty-two billion, two hundred seventy million, nineteen thousand, one hundred thirty-six".