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2221533340 = 2251341271769
BaseRepresentation
bin1000010001101001…
…1110100010011100
312201211012120211121
42010122132202130
514022203031330
61004235100324
7106023502405
oct20432364234
95654176747
102221533340
11a3aaa7974
1251bba16a4
13295330990
141710849ac
15d007217a
hex8469e89c

2221533340 has 96 divisors (see below), whose sum is σ = 5172330240. Its totient is φ = 796262400.

The previous prime is 2221533337. The next prime is 2221533341. The reversal of 2221533340 is 433351222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221533341) 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, 2888476 + ... + 2889244.

It is an arithmetic number, because the mean of its divisors is an integer number (53878440).

Almost surely, 22221533340 is an apocalyptic number.

2221533340 is a gapful number since it is divisible by the number (20) 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 2221533340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586165120).

2221533340 is an abundant number, since it is smaller than the sum of its proper divisors (2950796900).

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

2221533340 is a wasteful number, since it uses less digits than its factorization.

2221533340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2221533340 is about 47133.1448133901. The cubic root of 2221533340 is about 1304.8210223174.

Adding to 2221533340 its reverse (433351222), we get a palindrome (2654884562).

It can be divided in two parts, 22215 and 33340, that added together give a palindrome (55555).

The spelling of 2221533340 in words is "two billion, two hundred twenty-one million, five hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 271 410 533 542 769 820 1066 1084 1355 1538 2132 2665 2710 3076 3523 3845 5330 5420 7046 7690 9997 10660 11111 14092 15380 17615 19994 22222 31529 35230 39988 44444 49985 55555 63058 70460 99970 111110 126116 144443 157645 199940 208399 222220 288886 315290 409877 416798 577772 630580 722215 819754 833596 1041995 1444430 1639508 2049385 2083990 2709187 2888860 4098770 4167980 5418374 8197540 8544359 10836748 13545935 17088718 27091870 34177436 42721795 54183740 85443590 111076667 170887180 222153334 444306668 555383335 1110766670 2221533340