Search a number
-
+
2200635144 = 233230564377
BaseRepresentation
bin1000001100101011…
…0000011100001000
312200100212211220100
42003022300130020
514001330311034
61002211125400
7105351042621
oct20312603410
95610784810
102200635144
11a2a223834
12514ba3860
13290bc4796
1416c3a4a48
15cd2e5099
hex832b0708

2200635144 has 24 divisors (see below), whose sum is σ = 5960053710. Its totient is φ = 733545024.

The previous prime is 2200635133. The next prime is 2200635149. The reversal of 2200635144 is 4415360022.

2200635144 is a `hidden beast` number, since 2 + 20 + 0 + 635 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1284362244 + 916272900 = 35838^2 + 30270^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2200635149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15282117 + ... + 15282260.

Almost surely, 22200635144 is an apocalyptic number.

2200635144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2200635144 is an abundant number, since it is smaller than the sum of its proper divisors (3759418566).

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

2200635144 is a wasteful number, since it uses less digits than its factorization.

2200635144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30564389 (or 30564382 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2200635144 is about 46910.9277674190. The cubic root of 2200635144 is about 1300.7165958471.

Adding to 2200635144 its reverse (4415360022), we get a palindrome (6615995166).

The spelling of 2200635144 in words is "two billion, two hundred million, six hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30564377 61128754 91693131 122257508 183386262 244515016 275079393 366772524 550158786 733545048 1100317572 2200635144