Search a number
-
+
206431236330 = 23511625549201
BaseRepresentation
bin1100000001000001000…
…0101011000011101010
3201201211112210100012120
43000100100223003222
511340232344030310
6234455545452110
720625362362104
oct3002020530352
9651745710176
10206431236330
117a602062250
12340114a1036
131660a845167
149dc42a6574
155582d90b70
hex301042b0ea

206431236330 has 32 divisors (see below), whose sum is σ = 540474510528. Its totient is φ = 50043936000.

The previous prime is 206431236293. The next prime is 206431236331. The reversal of 206431236330 is 33632134602.

It is a happy number.

It is a super-2 number, since 2×2064312363302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 206431236291 and 206431236300.

It is not an unprimeable number, because it can be changed into a prime (206431236331) 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 15 ways as a sum of consecutive naturals, for example, 312774271 + ... + 312774930.

It is an arithmetic number, because the mean of its divisors is an integer number (16889828454).

Almost surely, 2206431236330 is an apocalyptic number.

206431236330 is an abundant number, since it is smaller than the sum of its proper divisors (334043274198).

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

206431236330 is a wasteful number, since it uses less digits than its factorization.

206431236330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625549222.

The product of its (nonzero) digits is 46656, while the sum is 33.

The spelling of 206431236330 in words is "two hundred six billion, four hundred thirty-one million, two hundred thirty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 625549201 1251098402 1876647603 3127746005 3753295206 6255492010 6881041211 9383238015 13762082422 18766476030 20643123633 34405206055 41286247266 68810412110 103215618165 206431236330