Search a number
-
+
221131221000 = 2335373710407
BaseRepresentation
bin1100110111110001110…
…0101010100000001000
3210010210000101221020020
43031330130222200020
512110334043033000
6245330345300440
721655560236214
oct3157434524010
9703700357206
10221131221000
118586589a308
1236a34494720
1317b11189441
14a9ba711944
155b43691ba0
hex337c72a808

221131221000 has 64 divisors (see below), whose sum is σ = 689929418880. Its totient is φ = 58968324800.

The previous prime is 221131220987. The next prime is 221131221001. The reversal of 221131221000 is 122131122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (221131221001) 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, 36852204 + ... + 36858203.

It is an arithmetic number, because the mean of its divisors is an integer number (10780147170).

Almost surely, 2221131221000 is an apocalyptic number.

221131221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131221000 is an abundant number, since it is smaller than the sum of its proper divisors (468798197880).

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

221131221000 is a wasteful number, since it uses less digits than its factorization.

221131221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73710431 (or 73710417 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221131221000 its reverse (122131122), we get a palindrome (221253352122).

The spelling of 221131221000 in words is "two hundred twenty-one billion, one hundred thirty-one million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 73710407 147420814 221131221 294841628 368552035 442262442 589683256 737104070 884524884 1105656105 1474208140 1769049768 1842760175 2211312210 2948416280 3685520350 4422624420 5528280525 7371040700 8845248840 9213800875 11056561050 14742081400 18427601750 22113122100 27641402625 36855203500 44226244200 55282805250 73710407000 110565610500 221131221000