Search a number
-
+
2213646448 = 241389197607
BaseRepresentation
bin1000001111110001…
…1001000001110000
312201021100220001111
42003330121001300
514013143141243
61003354043104
7105566453506
oct20374310160
95637326044
102213646448
11a36600382
12519419494
132937cbb90
1416ddd0676
15ce51539d
hex83f19070

2213646448 has 80 divisors (see below), whose sum is σ = 4702199040. Its totient is φ = 1003419648.

The previous prime is 2213646443. The next prime is 2213646451. The reversal of 2213646448 is 8446463122.

It is a self number, because there is not a number n which added to its sum of digits gives 2213646448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213646443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3646561 + ... + 3647167.

It is an arithmetic number, because the mean of its divisors is an integer number (58777488).

Almost surely, 22213646448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213646448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351099520).

2213646448 is an abundant number, since it is smaller than the sum of its proper divisors (2488552592).

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

2213646448 is a wasteful number, since it uses less digits than its factorization.

2213646448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 2213646448 is about 47049.4043320423. The cubic root of 2213646448 is about 1303.2750653382.

The spelling of 2213646448 in words is "two billion, two hundred thirteen million, six hundred forty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 197 208 356 394 607 712 788 1157 1214 1424 1576 2314 2428 2561 3152 4628 4856 5122 7891 9256 9712 10244 15782 17533 18512 20488 31564 35066 40976 54023 63128 70132 108046 119579 126256 140264 216092 227929 239158 280528 432184 455858 478316 702299 864368 911716 956632 1404598 1554527 1823432 1913264 2809196 3109054 3646864 5618392 6218108 10642531 11236784 12436216 21285062 24872432 42570124 85140248 138352903 170280496 276705806 553411612 1106823224 2213646448