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332200222002233 = 13101253008546841
BaseRepresentation
bin100101110001000100110010…
…0001110100000110000111001
31121120020000211122111202121122
41023202021210032200300321
5322020232023313032413
63134310401500515025
7126654450120464234
oct11342114416406071
91546200748452548
10332200222002233
1196938360973082
123131276624ba75
13113494673b6460
145c0681002241b
1528614542dd108
hex12e22643a0c39

332200222002233 has 8 divisors (see below), whose sum is σ = 361296204890376. Its totient is φ = 303610256208000.

The previous prime is 332200222002079. The next prime is 332200222002269.

332200222002233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 111263004304384 + 220937217697849 = 10548128^2 + 14863957^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 332200222002233 - 236 = 332131502525497 is a prime.

It is a super-2 number, since 2×3322002220022332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (332200222502233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126504272108 + ... + 126504274733.

It is an arithmetic number, because the mean of its divisors is an integer number (45162025611297).

Almost surely, 2332200222002233 is an apocalyptic number.

It is an amenable number.

332200222002233 is a deficient number, since it is larger than the sum of its proper divisors (29095982888143).

332200222002233 is a wasteful number, since it uses less digits than its factorization.

332200222002233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253008546955.

The product of its (nonzero) digits is 10368, while the sum is 26.

The spelling of 332200222002233 in words is "three hundred thirty-two trillion, two hundred billion, two hundred twenty-two million, two thousand, two hundred thirty-three".

Divisors: 1 13 101 1313 253008546841 3289111108933 25553863230941 332200222002233