Search a number
-
+
2221111992 = 23311611071289
BaseRepresentation
bin1000010001100011…
…0111101010111000
312201210102011212010
42010120313222320
514022101040432
61004222045520
7106020066111
oct20430675270
95653364763
102221111992
11a3a83a350
1251ba198a0
13295213c68
14170db5208
15ceedc3cc
hex84637ab8

2221111992 has 128 divisors (see below), whose sum is σ = 6219244800. Its totient is φ = 655334400.

The previous prime is 2221111973. The next prime is 2221111993. The reversal of 2221111992 is 2991111222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221111993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1722484 + ... + 1723772.

It is an arithmetic number, because the mean of its divisors is an integer number (48587850).

Almost surely, 22221111992 is an apocalyptic number.

2221111992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221111992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109622400).

2221111992 is an abundant number, since it is smaller than the sum of its proper divisors (3998132808).

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

2221111992 is a wasteful number, since it uses less digits than its factorization.

2221111992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1473 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 2221111992 is about 47128.6748381492. The cubic root of 2221111992 is about 1304.7385239697.

The spelling of 2221111992 in words is "two billion, two hundred twenty-one million, one hundred eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 107 122 132 183 214 244 264 321 366 428 488 642 671 732 856 1177 1284 1289 1342 1464 2013 2354 2568 2578 2684 3531 3867 4026 4708 5156 5368 6527 7062 7734 8052 9416 10312 13054 14124 14179 15468 16104 19581 26108 28248 28358 30936 39162 42537 52216 56716 71797 78324 78629 85074 113432 137923 143594 156648 157258 170148 215391 235887 275846 287188 314516 340296 413769 430782 471774 551692 574376 629032 827538 861564 864919 943548 1103384 1517153 1655076 1723128 1729838 1887096 2594757 3034306 3310152 3459676 4551459 5189514 6068612 6919352 8413303 9102918 10379028 12137224 16826606 18205836 20758056 25239909 33653212 36411672 50479818 67306424 92546333 100959636 185092666 201919272 277638999 370185332 555277998 740370664 1110555996 2221111992