Search a number
-
+
2133332010 = 232523703689
BaseRepresentation
bin111111100101000…
…0001000000101010
312111200020111100200
41333022001000222
513332113111020
6551404413030
7103603010565
oct17712010052
95450214320
102133332010
119a5234a07
124b6547176
1327cc8b644
141634854dc
15c744d590
hex7f28102a

2133332010 has 24 divisors (see below), whose sum is σ = 5546663460. Its totient is φ = 568888512.

The previous prime is 2133332009. The next prime is 2133332029. The reversal of 2133332010 is 102333312.

2133332010 is a `hidden beast` number, since 2 + 1 + 333 + 320 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1981229121 + 152102889 = 44511^2 + 12333^2 .

It is a super-2 number, since 2×21333320102 = 9102210929781280200, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11851755 + ... + 11851934.

Almost surely, 22133332010 is an apocalyptic number.

2133332010 is an abundant number, since it is smaller than the sum of its proper divisors (3413331450).

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

2133332010 is a wasteful number, since it uses less digits than its factorization.

2133332010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23703702 (or 23703699 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2133332010 is about 46188.0072096643. The cubic root of 2133332010 is about 1287.3189132941.

Adding to 2133332010 its reverse (102333312), we get a palindrome (2235665322).

The spelling of 2133332010 in words is "two billion, one hundred thirty-three million, three hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23703689 47407378 71111067 118518445 142222134 213333201 237036890 355555335 426666402 711110670 1066666005 2133332010