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2201311332 = 2232115558867
BaseRepresentation
bin1000001100110101…
…0101100001100100
312200102011012110100
42003031111201210
514002013430312
61002233424100
7105356560203
oct20315254144
95612135410
102201311332
11a2a645870
1251526b030
132910a04ac
1416c4dd23a
15cd3ca5dc
hex83355864

2201311332 has 36 divisors (see below), whose sum is σ = 6070283856. Its totient is φ = 667063920.

The previous prime is 2201311289. The next prime is 2201311429. The reversal of 2201311332 is 2331131022.

2201311332 is a `hidden beast` number, since 2 + 20 + 1 + 311 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22013113322 = 9691543160783228448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2779038 + ... + 2779829.

It is an arithmetic number, because the mean of its divisors is an integer number (168618996).

Almost surely, 22201311332 is an apocalyptic number.

2201311332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2201311332 is an abundant number, since it is smaller than the sum of its proper divisors (3868972524).

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

2201311332 is a wasteful number, since it uses less digits than its factorization.

2201311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558888 (or 5558883 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2201311332 is about 46918.1343618861. The cubic root of 2201311332 is about 1300.8498057050.

Adding to 2201311332 its reverse (2331131022), we get a palindrome (4532442354).

The spelling of 2201311332 in words is "two billion, two hundred one million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5558867 11117734 16676601 22235468 33353202 50029803 61147537 66706404 100059606 122295074 183442611 200119212 244590148 366885222 550327833 733770444 1100655666 2201311332