Search a number
-
+
2213401146 = 2311673171579
BaseRepresentation
bin1000001111101101…
…1101001000111010
312201020220102120020
42003323131020322
514013112314041
61003344511310
7105564412365
oct20373351072
95636812506
102213401146
11a36453050
1251931b536
13293744328
1416dd690dc
15ce4b7866
hex83edd23a

2213401146 has 64 divisors (see below), whose sum is σ = 4919892480. Its totient is φ = 658215360.

The previous prime is 2213401123. The next prime is 2213401171. The reversal of 2213401146 is 6411043122.

It is a super-2 number, since 2×22134011462 = 9798289266228226632, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1400985 + ... + 1402563.

It is an arithmetic number, because the mean of its divisors is an integer number (76873320).

Almost surely, 22213401146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213401146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459946240).

2213401146 is an abundant number, since it is smaller than the sum of its proper divisors (2706491334).

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

2213401146 is a wasteful number, since it uses less digits than its factorization.

2213401146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2213401146 is about 47046.7974042867. The cubic root of 2213401146 is about 1303.2269233853.

Adding to 2213401146 its reverse (6411043122), we get a palindrome (8624444268).

The spelling of 2213401146 in words is "two billion, two hundred thirteen million, four hundred one thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 317 402 634 737 951 1474 1579 1902 2211 3158 3487 4422 4737 6974 9474 10461 17369 20922 21239 34738 42478 52107 63717 104214 105793 127434 211586 233629 317379 467258 500543 634758 700887 1001086 1163723 1401774 1501629 2327446 3003258 3491169 5505973 6982338 11011946 16517919 33035838 33536381 67072762 100609143 201218286 368900191 737800382 1106700573 2213401146