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2220435136 = 2661607937
BaseRepresentation
bin1000010001011001…
…0010011011000000
312201202010210101101
42010112102123000
514021412411021
61004155344144
7106011246553
oct20426223300
95652123341
102220435136
11a3a417867
1251b752054
13295037b5a
14170c7a69a
15cee06a91
hex845926c0

2220435136 has 56 divisors (see below), whose sum is σ = 4490573696. Its totient is φ = 1089054720.

The previous prime is 2220435131. The next prime is 2220435137. The reversal of 2220435136 is 6315340222.

It is not an unprimeable number, because it can be changed into a prime (2220435131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2369260 + ... + 2370196.

It is an arithmetic number, because the mean of its divisors is an integer number (80188816).

Almost surely, 22220435136 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 2220435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245286848).

2220435136 is an abundant number, since it is smaller than the sum of its proper divisors (2270138560).

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

2220435136 is an equidigital number, since it uses as much as digits as its factorization.

2220435136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2220435136 is about 47121.4933549437. The cubic root of 2220435136 is about 1304.6059762754.

Adding to 2220435136 its reverse (6315340222), we get a palindrome (8535775358).

The spelling of 2220435136 in words is "two billion, two hundred twenty million, four hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 607 937 976 1214 1874 1952 2428 3748 3904 4856 7496 9712 14992 19424 29984 37027 38848 57157 59968 74054 114314 148108 228628 296216 457256 568759 592432 914512 1137518 1184864 1829024 2275036 2369728 3658048 4550072 9100144 18200288 34694299 36400576 69388598 138777196 277554392 555108784 1110217568 2220435136