Search a number
-
+
233047407333 = 31323259807589
BaseRepresentation
bin1101100100001010110…
…1010011101011100101
3211021112110210220211210
43121002231103223211
512304240114013313
6255021022422033
722560063164226
oct3310255235345
9737473726753
10233047407333
118a920205494
12391bb131919
1318c8cb56a80
14b3cb15324d
1560de8a89c3
hex3642b53ae5

233047407333 has 16 divisors (see below), whose sum is σ = 349181400960. Its totient is φ = 137178406464.

The previous prime is 233047407277. The next prime is 233047407343. The reversal of 233047407333 is 333704740332.

It is not a de Polignac number, because 233047407333 - 28 = 233047407077 is a prime.

It is a super-2 number, since 2×2330474073332 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 233047407291 and 233047407300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233047407343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129902898 + ... + 129904691.

It is an arithmetic number, because the mean of its divisors is an integer number (21823837560).

Almost surely, 2233047407333 is an apocalyptic number.

233047407333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

233047407333 is a deficient number, since it is larger than the sum of its proper divisors (116133993627).

233047407333 is a wasteful number, since it uses less digits than its factorization.

233047407333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259807628.

The product of its (nonzero) digits is 381024, while the sum is 39.

The spelling of 233047407333 in words is "two hundred thirty-three billion, forty-seven million, four hundred seven thousand, three hundred thirty-three".

Divisors: 1 3 13 23 39 69 299 897 259807589 779422767 3377498657 5975574547 10132495971 17926723641 77682469111 233047407333