Search a number
-
+
223660096200 = 2332527121572
BaseRepresentation
bin1101000001001100101…
…1100011101011001000
3210101022020221002211200
43100103023203223020
512131023441034300
6250425324024200
722105335310212
oct3202313435310
9711266832750
10223660096200
1186943325712
123741b392060
13181250888b8
14ab7a51b5b2
155c406c3200
hex34132e3ac8

223660096200 has 324 divisors, whose sum is σ = 766736864595. Its totient is φ = 58428115200.

The previous prime is 223660096189. The next prime is 223660096229. The reversal of 223660096200 is 2690066322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

223660096200 is a `hidden beast` number, since 2 + 2 + 366 + 0 + 0 + 96 + 200 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 38902828644 + 184757267556 = 197238^2 + 429834^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334410.

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

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 80 ways as a sum of consecutive naturals, for example, 1424586522 + ... + 1424586678.

Almost surely, 2223660096200 is an apocalyptic number.

223660096200 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 223660096200

223660096200 is an abundant number, since it is smaller than the sum of its proper divisors (543076768395).

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

223660096200 is a wasteful number, since it uses less digits than its factorization.

223660096200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 223660096200 in words is "two hundred twenty-three billion, six hundred sixty million, ninety-six thousand, two hundred".