Search a number
-
+
233033200002 = 23212946288889
BaseRepresentation
bin1101100100000111011…
…1000111000110000010
3211021111111002010001100
43121001313013012002
512304222444400002
6255015354115230
722556531342361
oct3310167070602
9737444063040
10233033200002
118a913191299
12391b641bb16
1318c89c21175
14b3c92d57d8
1560dd4ee11c
hex3641dc7182

233033200002 has 12 divisors (see below), whose sum is σ = 504905266710. Its totient is φ = 77677733328.

The previous prime is 233033199989. The next prime is 233033200009. The reversal of 233033200002 is 200002330332.

233033200002 is a `hidden beast` number, since 2 + 330 + 332 + 0 + 0 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133348398561 + 99684801441 = 365169^2 + 315729^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12946288889 = 233033200002 / (2 + 3 + 3 + 0 + 3 + 3 + 2 + 0 + 0 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (233033200009) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6473144427 + ... + 6473144462.

Almost surely, 2233033200002 is an apocalyptic number.

233033200002 is an abundant number, since it is smaller than the sum of its proper divisors (271872066708).

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

233033200002 is a wasteful number, since it uses less digits than its factorization.

233033200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946288897 (or 12946288894 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 233033200002 its reverse (200002330332), we get a palindrome (433035530334).

The spelling of 233033200002 in words is "two hundred thirty-three billion, thirty-three million, two hundred thousand, two".

Divisors: 1 2 3 6 9 18 12946288889 25892577778 38838866667 77677733334 116516600001 233033200002