Search a number
-
+
22225135542113 = 727915101380203
BaseRepresentation
bin1010000110110101100010…
…10011110001111101100001
32220200200221220112212202102
411003122301103301331201
510403114034144321423
6115134030351100145
74452466402040600
oct503326123617541
986620856485672
1022225135542113
117099699672919
1225ab468b11655
13c52a8a4a99ca
1456b9b9179a37
152881d7d30c28
hex1436b14f1f61

22225135542113 has 24 divisors (see below), whose sum is σ = 26182794084480. Its totient is φ = 18807680455200.

The previous prime is 22225135542101. The next prime is 22225135542139. The reversal of 22225135542113 is 31124553152222.

It is not a de Polignac number, because 22225135542113 - 28 = 22225135541857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22225185542113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58265870 + ... + 58646072.

It is an arithmetic number, because the mean of its divisors is an integer number (1090949753520).

Almost surely, 222225135542113 is an apocalyptic number.

It is an amenable number.

22225135542113 is a deficient number, since it is larger than the sum of its proper divisors (3957658542367).

22225135542113 is a wasteful number, since it uses less digits than its factorization.

22225135542113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395397 (or 395390 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

Adding to 22225135542113 its reverse (31124553152222), we get a palindrome (53349688694335).

The spelling of 22225135542113 in words is "twenty-two trillion, two hundred twenty-five billion, one hundred thirty-five million, five hundred forty-two thousand, one hundred thirteen".

Divisors: 1 7 49 79 553 3871 15101 105707 380203 739949 1192979 2661421 8350853 18629947 30036037 58455971 210252259 1471765813 5741445503 40190118521 281330829647 453574194737 3175019363159 22225135542113