Search a number
-
+
2241144342 = 233167257967
BaseRepresentation
bin1000010110010101…
…0010011000010110
312210012002221002000
42011211102120112
514042213104332
61010215300130
7106352261343
oct20545223026
95705087060
102241144342
11a50081a08
1252667a646
13299409018
1417390b7ca
15d1b47b7c
hex85952616

2241144342 has 64 divisors (see below), whose sum is σ = 5034839040. Its totient is φ = 738920448.

The previous prime is 2241144329. The next prime is 2241144383. The reversal of 2241144342 is 2434411422.

2241144342 is a `hidden beast` number, since 224 + 1 + 1 + 4 + 434 + 2 = 666.

It is a super-2 number, since 2×22411443422 = 10045455923357225928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2317143 + ... + 2318109.

It is an arithmetic number, because the mean of its divisors is an integer number (78669360).

Almost surely, 22241144342 is an apocalyptic number.

2241144342 is an abundant number, since it is smaller than the sum of its proper divisors (2793694698).

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

2241144342 is a wasteful number, since it uses less digits than its factorization.

2241144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1396 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2241144342 is about 47340.7260400598. The cubic root of 2241144342 is about 1308.6492967728.

Adding to 2241144342 its reverse (2434411422), we get a palindrome (4675555764).

The spelling of 2241144342 in words is "two billion, two hundred forty-one million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 167 257 334 501 514 771 967 1002 1503 1542 1934 2313 2901 3006 4509 4626 5802 6939 8703 9018 13878 17406 26109 42919 52218 85838 128757 161489 248519 257514 322978 386271 484467 497038 745557 772542 968934 1158813 1453401 1491114 2236671 2317626 2906802 4360203 4473342 6710013 8720406 13420026 41502673 83005346 124508019 249016038 373524057 747048114 1120572171 2241144342