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2200132557 = 337472331063
BaseRepresentation
bin1000001100100011…
…0101101111001101
312200022221022111000
42003020311233031
514001213220212
61002152250513
7105343550430
oct20310655715
95608838430
102200132557
11a29a10177
125149a0a39
13290a79aac
1416c2b3817
15cd2461dc
hex83235bcd

2200132557 has 64 divisors (see below), whose sum is σ = 3824271360. Its totient is φ = 1224035712.

The previous prime is 2200132553. The next prime is 2200132559. The reversal of 2200132557 is 7552310022.

2200132557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2200132557 - 22 = 2200132553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2200132557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200132553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2069208 + ... + 2070270.

It is an arithmetic number, because the mean of its divisors is an integer number (59754240).

Almost surely, 22200132557 is an apocalyptic number.

2200132557 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2200132557 is a deficient number, since it is larger than the sum of its proper divisors (1624138803).

2200132557 is a wasteful number, since it uses less digits than its factorization.

2200132557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2200132557 is about 46905.5706393175. The cubic root of 2200132557 is about 1300.6175679177.

Adding to 2200132557 its reverse (7552310022), we get a palindrome (9752442579).

The spelling of 2200132557 in words is "two billion, two hundred million, one hundred thirty-two thousand, five hundred fifty-seven".

Divisors: 1 3 7 9 21 27 47 63 141 189 233 329 423 699 987 1063 1269 1631 2097 2961 3189 4893 6291 7441 8883 9567 10951 14679 22323 28701 32853 44037 49961 66969 76657 98559 149883 200907 229971 247679 295677 349727 449649 689913 743037 1049181 1348947 1733753 2069739 2229111 3147543 5201259 6687333 9442629 11640913 15603777 34922739 46811331 81486391 104768217 244459173 314304651 733377519 2200132557