Search a number
-
+
3222005024 = 257128911159
BaseRepresentation
bin1100000000001011…
…1110010100100000
322022112202210222102
43000002332110200
523044313130044
61251414425532
7142562406440
oct30002762440
98275683872
103222005024
111403813077
1275b0622a8
133c46a4764
14227cb6120
1513cce824e
hexc00be520

3222005024 has 48 divisors (see below), whose sum is σ = 7255785600. Its totient is φ = 1379664384.

The previous prime is 3222005023. The next prime is 3222005051. The reversal of 3222005024 is 4205002223.

It is a junction number, because it is equal to n+sod(n) for n = 3222004987 and 3222005005.

It is not an unprimeable number, because it can be changed into a prime (3222005021) 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, 283157 + ... + 294315.

It is an arithmetic number, because the mean of its divisors is an integer number (151162200).

Almost surely, 23222005024 is an apocalyptic number.

It is an amenable number.

3222005024 is an abundant number, since it is smaller than the sum of its proper divisors (4033780576).

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

3222005024 is a wasteful number, since it uses less digits than its factorization.

3222005024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3222005024 is about 56762.7080396980. The cubic root of 3222005024 is about 1476.9826864051.

Adding to 3222005024 its reverse (4205002223), we get a palindrome (7427007247).

The spelling of 3222005024 in words is "three billion, two hundred twenty-two million, five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1289 2578 5156 9023 10312 11159 18046 20624 22318 36092 41248 44636 72184 78113 89272 144368 156226 178544 288736 312452 357088 624904 1249808 2499616 14383951 28767902 57535804 100687657 115071608 201375314 230143216 402750628 460286432 805501256 1611002512 3222005024