Search a number
-
+
22400132205 = 35111187114371
BaseRepresentation
bin10100110111001001…
…101110010001101101
32010211002210121200010
4110313021232101231
5331333413212310
614142424323433
71422044660613
oct246711562155
963732717603
1022400132205
119555321960
124411913579
13215ca0b7c9
141126d7b6b3
158b181b320
hex53726e46d

22400132205 has 32 divisors (see below), whose sum is σ = 39131693568. Its totient is φ = 10851425600.

The previous prime is 22400132197. The next prime is 22400132207. The reversal of 22400132205 is 50223100422.

It is not a de Polignac number, because 22400132205 - 23 = 22400132197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400132207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138670 + ... + 253040.

It is an arithmetic number, because the mean of its divisors is an integer number (1222865424).

Almost surely, 222400132205 is an apocalyptic number.

It is an amenable number.

22400132205 is a deficient number, since it is larger than the sum of its proper divisors (16731561363).

22400132205 is a wasteful number, since it uses less digits than its factorization.

22400132205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115577.

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 22400132205 its reverse (50223100422), we get a palindrome (72623232627).

The spelling of 22400132205 in words is "twenty-two billion, four hundred million, one hundred thirty-two thousand, two hundred five".

Divisors: 1 3 5 11 15 33 55 165 1187 3561 5935 13057 17805 39171 65285 114371 195855 343113 571855 1258081 1715565 3774243 6290405 18871215 135758377 407275131 678791885 1493342147 2036375655 4480026441 7466710735 22400132205