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2132132223 = 313223672729
BaseRepresentation
bin111111100010101…
…1100000101111111
312111120222112120010
41333011130011333
513331311212343
6551322554303
7103556552634
oct17705340577
95446875503
102132132223
119a4595551
124b6068993
1327c95b500
1416325218b
15c72b2d33
hex7f15c17f

2132132223 has 48 divisors (see below), whose sum is σ = 3261323520. Its totient is φ = 1235849472.

The previous prime is 2132132221. The next prime is 2132132257. The reversal of 2132132223 is 3222312312.

It is a happy number.

It is not a de Polignac number, because 2132132223 - 21 = 2132132221 is a prime.

It is a super-5 number, since 5×21321322235 (a number of 48 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2132132223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132132221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779923 + ... + 782651.

It is an arithmetic number, because the mean of its divisors is an integer number (67944240).

Almost surely, 22132132223 is an apocalyptic number.

2132132223 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2132132223 is a deficient number, since it is larger than the sum of its proper divisors (1129191297).

2132132223 is a wasteful number, since it uses less digits than its factorization.

2132132223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2835 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2132132223 is about 46175.0173037325. The cubic root of 2132132223 is about 1287.0775384363.

Adding to 2132132223 its reverse (3222312312), we get a palindrome (5354444535).

The spelling of 2132132223 in words is "two billion, one hundred thirty-two million, one hundred thirty-two thousand, two hundred twenty-three".

Divisors: 1 3 13 23 39 67 69 169 201 299 507 871 897 1541 2613 2729 3887 4623 8187 11323 11661 20033 33969 35477 60099 62767 106431 182843 188301 260429 461201 548529 781287 815971 1383603 2376959 2447913 4205389 7130877 10607623 12616167 30900467 31822869 54670057 92701401 164010171 710710741 2132132223