Search a number
-
+
2225643153251 = 71923557247609
BaseRepresentation
bin100000011000110010101…
…010110110011101100011
321212202202220020200200012
4200120302222312131203
5242431104121401001
64422240224515135
7316540340442560
oct40306252663543
97782686220605
102225643153251
117889875a0621
122bb41747baab
13131b534144bb
1479a164d5867
153cd628182bb
hex20632ab6763

2225643153251 has 24 divisors (see below), whose sum is σ = 2685276966240. Its totient is φ = 1806773786496.

The previous prime is 2225643153203. The next prime is 2225643153263. The reversal of 2225643153251 is 1523513465222.

It is not a de Polignac number, because 2225643153251 - 214 = 2225643136867 is a prime.

It is a super-2 number, since 2×22256431532512 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2225643153199 and 2225643153208.

It is not an unprimeable number, because it can be changed into a prime (2225643153451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8864735 + ... + 9112343.

It is an arithmetic number, because the mean of its divisors is an integer number (111886540260).

Almost surely, 22225643153251 is an apocalyptic number.

2225643153251 is a deficient number, since it is larger than the sum of its proper divisors (459633812989).

2225643153251 is a wasteful number, since it uses less digits than its factorization.

2225643153251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251211 (or 251192 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The spelling of 2225643153251 in words is "two trillion, two hundred twenty-five billion, six hundred forty-three million, one hundred fifty-three thousand, two hundred fifty-one".

Divisors: 1 7 19 133 361 2527 3557 24899 67583 247609 473081 1284077 1733263 4704571 8988539 32931997 89386849 625707943 880745213 6165216491 16734159047 117139113329 317949021893 2225643153251