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2220781860 = 223651161227
BaseRepresentation
bin1000010001011110…
…0111000100100100
312201202210102000000
42010113213010210
514022010004420
61004211021300
7106014222453
oct20427470444
95652712000
102220781860
11a3a634310
1251b89a830
1329512990b
14170d2ab9a
15cee74690
hex845e7124

2220781860 has 336 divisors, whose sum is σ = 7787126592. Its totient is φ = 527212800.

The previous prime is 2220781831. The next prime is 2220781861. The reversal of 2220781860 is 681870222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2220781861) 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 111 ways as a sum of consecutive naturals, for example, 9783067 + ... + 9783293.

It is an arithmetic number, because the mean of its divisors is an integer number (23175972).

Almost surely, 22220781860 is an apocalyptic number.

2220781860 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 2220781860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893563296).

2220781860 is an abundant number, since it is smaller than the sum of its proper divisors (5566344732).

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

2220781860 is a wasteful number, since it uses less digits than its factorization.

2220781860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2220781860 is about 47125.1722543271. The cubic root of 2220781860 is about 1304.6738780803.

The spelling of 2220781860 in words is "two billion, two hundred twenty million, seven hundred eighty-one thousand, eight hundred sixty".