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2132133332 = 22741297467
BaseRepresentation
bin111111100010101…
…1100010111010100
312111120222121002012
41333011130113110
513331311231312
6551323003352
7103556556110
oct17705342724
95446877065
102132133332
119a459636a
124b6069558
1327c95bb74
14163252740
15c72b3322
hex7f15c5d4

2132133332 has 72 divisors (see below), whose sum is σ = 4425325632. Its totient is φ = 880404480.

The previous prime is 2132133293. The next prime is 2132133379. The reversal of 2132133332 is 2333312312.

It is a junction number, because it is equal to n+sod(n) for n = 2132133298 and 2132133307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4565363 + ... + 4565829.

It is an arithmetic number, because the mean of its divisors is an integer number (61462856).

Almost surely, 22132133332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132133332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212662816).

2132133332 is an abundant number, since it is smaller than the sum of its proper divisors (2293192300).

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

2132133332 is a wasteful number, since it uses less digits than its factorization.

2132133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 614 counting only the distinct ones).

The product of its digits is 1944, while the sum is 23.

The square root of 2132133332 is about 46175.0293123892. The cubic root of 2132133332 is about 1287.0777615883.

Adding to 2132133332 its reverse (2333312312), we get a palindrome (4465445644).

The spelling of 2132133332 in words is "two billion, one hundred thirty-two million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 97 164 194 287 388 467 574 679 934 1148 1358 1681 1868 2716 3269 3362 3977 6538 6724 7954 11767 13076 15908 19147 23534 27839 38294 45299 47068 55678 76588 90598 111356 134029 163057 181196 268058 317093 326114 536116 634186 652228 785027 1141399 1268372 1570054 1857259 2282798 3140108 3714518 4565596 5495189 7429036 10990378 13000813 21980756 26001626 52003252 76147619 152295238 304590476 533033333 1066066666 2132133332