Search a number
-
+
332213022002232 = 23327941700481213
BaseRepresentation
bin100101110001001010101111…
…1001010101000110000111000
31121120021020212200222010122200
41023202111133022220300320
5322020434232113032412
63134320315545150200
7126655412244624420
oct11342253712506070
91546236780863580
10332213022002232
119694282a165578
1231315138a8b360
131134a727200b57
145c072a5da9480
152861952dd59dc
hex12e255f2a8c38

332213022002232 has 96 divisors (see below), whose sum is σ = 1029371153597280. Its totient is φ = 94817136856320.

The previous prime is 332213022002047. The next prime is 332213022002233. The reversal of 332213022002232 is 232200220312233.

332213022002232 is a `hidden beast` number, since 3 + 3 + 2 + 213 + 0 + 220 + 0 + 223 + 2 = 666.

It is a super-2 number, since 2×3322130220022322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332213022002196 and 332213022002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332213022002233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349766343 + ... + 350714870.

It is an arithmetic number, because the mean of its divisors is an integer number (10722616183305).

Almost surely, 2332213022002232 is an apocalyptic number.

It is an amenable number.

332213022002232 is an abundant number, since it is smaller than the sum of its proper divisors (697158131595048).

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

332213022002232 is a wasteful number, since it uses less digits than its factorization.

332213022002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700482173 (or 700482166 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 332213022002232 its reverse (232200220312233), we get a palindrome (564413242314465).

The spelling of 332213022002232 in words is "three hundred thirty-two trillion, two hundred thirteen billion, twenty-two million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 941 1882 2823 3764 5646 6587 7528 8469 11292 13174 16938 19761 22584 26348 33876 39522 52696 59283 67752 79044 118566 158088 237132 474264 700481213 1400962426 2101443639 2801924852 4202887278 4903368491 5603849704 6304330917 8405774556 9806736982 12608661834 14710105473 16811549112 19613473964 25217323668 29420210946 39226947928 44130316419 50434647336 58840421892 88260632838 117680843784 176521265676 353042531352 659152821433 1318305642866 1977458464299 2636611285732 3954916928598 4614069750031 5273222571464 5932375392897 7909833857196 9228139500062 11864750785794 13842209250093 15819667714392 18456279000124 23729501571588 27684418500186 36912558000248 41526627750279 47459003143176 55368837000372 83053255500558 110737674000744 166106511001116 332213022002232