Search a number
-
+
212413221240 = 233511160919107
BaseRepresentation
bin1100010111010011010…
…0001000100101111000
3202022021102221122211020
43011310310020211320
511440010241034430
6241325320302440
721226540406253
oct3056464104570
9668242848736
10212413221240
11820a17a9030
1235200911a20
1317051c740bc
14a3d094609a
1557d311ab10
hex3174d08978

212413221240 has 64 divisors (see below), whose sum is σ = 695170546560. Its totient is φ = 51494113920.

The previous prime is 212413221211. The next prime is 212413221247. The reversal of 212413221240 is 42122314212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212413221240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212413221247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80458234 + ... + 80460873.

It is an arithmetic number, because the mean of its divisors is an integer number (10862039790).

Almost surely, 2212413221240 is an apocalyptic number.

212413221240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212413221240 is an abundant number, since it is smaller than the sum of its proper divisors (482757325320).

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

212413221240 is a wasteful number, since it uses less digits than its factorization.

212413221240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160919132 (or 160919128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212413221240 its reverse (42122314212), we get a palindrome (254535535452).

The spelling of 212413221240 in words is "two hundred twelve billion, four hundred thirteen million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 160919107 321838214 482757321 643676428 804595535 965514642 1287352856 1609191070 1770110177 1931029284 2413786605 3218382140 3540220354 3862058568 4827573210 5310330531 6436764280 7080440708 8850550885 9655146420 10620661062 14160881416 17701101770 19310292840 21241322124 26551652655 35402203540 42482644248 53103305310 70804407080 106206610620 212413221240