Search a number
-
+
233055550332 = 2232115231112507
BaseRepresentation
bin1101100100001100110…
…0010111101101111100
3211021120001010121221100
43121003030113231330
512304244210102312
6255021513133100
722560222330603
oct3310314275574
9737501117840
10233055550332
118a924867440
12392019ba190
1318c91748307
14b3cc272a3a
1560e04665dc
hex3643317b7c

233055550332 has 72 divisors (see below), whose sum is σ = 642796906752. Its totient is φ = 70608765600.

The previous prime is 233055550261. The next prime is 233055550333.

233055550332 is a `hidden beast` number, since 23 + 3 + 0 + 55 + 550 + 3 + 32 = 666.

233055550332 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233055550333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2015223 + ... + 2127729.

It is an arithmetic number, because the mean of its divisors is an integer number (8927734816).

Almost surely, 2233055550332 is an apocalyptic number.

233055550332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233055550332 is an abundant number, since it is smaller than the sum of its proper divisors (409741356420).

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

233055550332 is a wasteful number, since it uses less digits than its factorization.

233055550332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117759 (or 117754 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 36.

It can be divided in two parts, 233055 and 550332, that added together give a palindrome (783387).

The spelling of 233055550332 in words is "two hundred thirty-three billion, fifty-five million, five hundred fifty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5231 10462 15693 20924 31386 47079 57541 62772 94158 112507 115082 172623 188316 225014 230164 337521 345246 450028 517869 675042 690492 1012563 1035738 1237577 1350084 2025126 2071476 2475154 3712731 4050252 4950308 7425462 11138193 14850924 22276386 44552772 588524117 1177048234 1765572351 2354096468 3531144702 5296717053 6473765287 7062289404 10593434106 12947530574 19421295861 21186868212 25895061148 38842591722 58263887583 77685183444 116527775166 233055550332