Search a number
-
+
232013212200 = 23325271113912043
BaseRepresentation
bin1101100000010100010…
…0001010101000101000
3211011212101210100211100
43120011010022220220
512300130340242300
6254330240201400
722522334523120
oct3300504125050
9734771710740
10232013212200
118a43a456370
1238b70909260
1318b568062a3
14b32da63c80
15607dbc0700
hex360510aa28

232013212200 has 576 divisors, whose sum is σ = 978512371200. Its totient is φ = 47859724800.

The previous prime is 232013212183. The next prime is 232013212201. The reversal of 232013212200 is 2212310232.

232013212200 is a `hidden beast` number, since 2 + 320 + 1 + 321 + 2 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232013212201) 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 143 ways as a sum of consecutive naturals, for example, 19259379 + ... + 19271421.

It is an arithmetic number, because the mean of its divisors is an integer number (1698806200).

Almost surely, 2232013212200 is an apocalyptic number.

232013212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232013212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489256185600).

232013212200 is an abundant number, since it is smaller than the sum of its proper divisors (746499159000).

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

232013212200 is a wasteful number, since it uses less digits than its factorization.

232013212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222 (or 12210 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232013212200 its reverse (2212310232), we get a palindrome (234225522432).

It can be divided in two parts, 2320132 and 12200, that added together give a palindrome (2332332).

The spelling of 232013212200 in words is "two hundred thirty-two billion, thirteen million, two hundred twelve thousand, two hundred".