Search a number
-
+
222120020000232 = 23331028333425927
BaseRepresentation
bin110010100000010001011000…
…111000111011110111101000
31002010110110121002202010212000
4302200101120320323313220
5213103203300110001412
62104224310053451000
764533433106116554
oct6240213070736750
91063413532663760
10222120020000232
11648576316a6802
1220ab4421340a60
1396c2a9c1a48a3
143cbc9485a2864
151aa2cb8a094dc
hexca0458e3bde8

222120020000232 has 32 divisors (see below), whose sum is σ = 617000055556800. Its totient is φ = 74040006666672.

The previous prime is 222120020000231. The next prime is 222120020000233. The reversal of 222120020000232 is 232000020021222.

222120020000232 is a `hidden beast` number, since 22 + 212 + 0 + 0 + 200 + 0 + 0 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (222120020000231) and next prime (222120020000233).

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 (222120020000231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514166712748 + ... + 514166713179.

It is an arithmetic number, because the mean of its divisors is an integer number (19281251736150).

Almost surely, 2222120020000232 is an apocalyptic number.

It is an amenable number.

222120020000232 is an abundant number, since it is smaller than the sum of its proper divisors (394880035556568).

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

222120020000232 is a wasteful number, since it uses less digits than its factorization.

222120020000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028333425942 (or 1028333425932 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 222120020000232 its reverse (232000020021222), we get a palindrome (454120040021454).

The spelling of 222120020000232 in words is "two hundred twenty-two trillion, one hundred twenty billion, twenty million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1028333425927 2056666851854 3085000277781 4113333703708 6170000555562 8226667407416 9255000833343 12340001111124 18510001666686 24680002222248 27765002500029 37020003333372 55530005000058 74040006666744 111060010000116 222120020000232