Search a number
-
+
22312545151 = 133159819257
BaseRepresentation
bin10100110001111011…
…100110101101111111
32010120222222201211011
4110301323212231333
5331144002421101
614130015140051
71416632335021
oct246173465577
963528881734
1022312545151
11950a939466
1243a8514627
132147822c50
14111949c011
158a8cb9751
hex531ee6b7f

22312545151 has 16 divisors (see below), whose sum is σ = 24810847488. Its totient is φ = 19926316800.

The previous prime is 22312545137. The next prime is 22312545187. The reversal of 22312545151 is 15154521322.

It is not a de Polignac number, because 22312545151 - 213 = 22312536959 is a prime.

It is a super-3 number, since 3×223125451513 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312545121) 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 15 ways as a sum of consecutive naturals, for example, 2405715 + ... + 2414971.

It is an arithmetic number, because the mean of its divisors is an integer number (1550677968).

Almost surely, 222312545151 is an apocalyptic number.

22312545151 is a deficient number, since it is larger than the sum of its proper divisors (2498302337).

22312545151 is a wasteful number, since it uses less digits than its factorization.

22312545151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15282.

The product of its digits is 12000, while the sum is 31.

The spelling of 22312545151 in words is "twenty-two billion, three hundred twelve million, five hundred forty-five thousand, one hundred fifty-one".

Divisors: 1 13 31 403 5981 9257 77753 120341 185411 286967 2410343 3730571 55366117 719759521 1716349627 22312545151