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22200132141 = 32111679531409
BaseRepresentation
bin10100101011001110…
…110010001000101101
32010022011110120011100
4110223032302020231
5330431213212031
614110521513313
71414066003215
oct245316621055
963264416140
1022200132141
119462439950
124376942839
13212a454485
141108599245
1589deb1de6
hex52b3b222d

22200132141 has 48 divisors (see below), whose sum is σ = 35253429120. Its totient is φ = 13350543360.

The previous prime is 22200132079. The next prime is 22200132161. The reversal of 22200132141 is 14123100222.

It is a happy number.

It is not a de Polignac number, because 22200132141 - 211 = 22200130093 is a prime.

It is a super-2 number, since 2×222001321412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200132161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15755245 + ... + 15756653.

It is an arithmetic number, because the mean of its divisors is an integer number (734446440).

Almost surely, 222200132141 is an apocalyptic number.

It is an amenable number.

22200132141 is a deficient number, since it is larger than the sum of its proper divisors (13053296979).

22200132141 is a wasteful number, since it uses less digits than its factorization.

22200132141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22200132141 its reverse (14123100222), we get a palindrome (36323232363).

The spelling of 22200132141 in words is "twenty-two billion, two hundred million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 167 501 953 1409 1503 1837 2859 4227 5511 8577 10483 12681 15499 16533 31449 46497 94347 139491 159151 235303 477453 705909 1342777 1432359 1750661 2117727 2588333 4028331 5251983 7764999 12084993 14770547 15755949 23294997 44311641 132934923 224243759 672731277 2018193831 2466681349 7400044047 22200132141