Search a number
-
+
4322245120 = 2953594703
BaseRepresentation
bin1000000011010000…
…00011101000000000
3102011020001210122121
410001220003220000
532322443320440
61552520414024
7212052322504
oct40150035000
912136053577
104322245120
111918881806
12a07617314
1353b60a7bb
142d0078304
151a46ca34a
hex101a03a00

4322245120 has 80 divisors (see below), whose sum is σ = 10394334720. Its totient is φ = 1723715584.

The previous prime is 4322245099. The next prime is 4322245127. The reversal of 4322245120 is 215422234.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4322245127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 916689 + ... + 921391.

It is an arithmetic number, because the mean of its divisors is an integer number (129929184).

Almost surely, 24322245120 is an apocalyptic number.

4322245120 is a gapful number since it is divisible by the number (40) 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 4322245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197167360).

4322245120 is an abundant number, since it is smaller than the sum of its proper divisors (6072089600).

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

4322245120 is an equidigital number, since it uses as much as digits as its factorization.

4322245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4322245120 is about 65743.7838886689. The cubic root of 4322245120 is about 1628.9326596726.

Adding to 4322245120 its reverse (215422234), we get a palindrome (4537667354).

The spelling of 4322245120 in words is "four billion, three hundred twenty-two million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 359 512 640 718 1280 1436 1795 2560 2872 3590 4703 5744 7180 9406 11488 14360 18812 22976 23515 28720 37624 45952 47030 57440 75248 91904 94060 114880 150496 183808 188120 229760 300992 376240 459520 601984 752480 919040 1203968 1504960 1688377 2407936 3009920 3376754 6019840 6753508 8441885 12039680 13507016 16883770 27014032 33767540 54028064 67535080 108056128 135070160 216112256 270140320 432224512 540280640 864449024 1080561280 2161122560 4322245120