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2230320224 = 25118397787
BaseRepresentation
bin1000010011101111…
…1111110001100000
312202102202000011202
42010323333301200
514031430221344
61005151300332
7106161260216
oct20473776140
95672660152
102230320224
11a44a59660
12522b1a6a8
132970b9312
141722d0cb6
15d0c0a94e
hex84effc60

2230320224 has 96 divisors (see below), whose sum is σ = 4904032896. Its totient is φ = 989982720.

The previous prime is 2230320217. The next prime is 2230320227. The reversal of 2230320224 is 4220230322.

It is a junction number, because it is equal to n+sod(n) for n = 2230320196 and 2230320205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230320227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2833559 + ... + 2834345.

It is an arithmetic number, because the mean of its divisors is an integer number (51083676).

Almost surely, 22230320224 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 2230320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452016448).

2230320224 is an abundant number, since it is smaller than the sum of its proper divisors (2673712672).

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

2230320224 is a wasteful number, since it uses less digits than its factorization.

2230320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2230320224 is about 47226.2662508905. The cubic root of 2230320224 is about 1306.5390890760.

Adding to 2230320224 its reverse (4220230322), we get a palindrome (6450550546).

The spelling of 2230320224 in words is "two billion, two hundred thirty million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 97 166 176 194 332 352 388 664 776 787 913 1067 1328 1552 1574 1826 2134 2656 3104 3148 3652 4268 6296 7304 8051 8536 8657 12592 14608 16102 17072 17314 25184 29216 32204 34144 34628 64408 65321 69256 76339 88561 128816 130642 138512 152678 177122 257632 261284 277024 305356 354244 522568 610712 708488 718531 839729 1045136 1221424 1416976 1437062 1679458 2090272 2442848 2833952 2874124 3358916 5748248 6336137 6717832 11496496 12672274 13435664 22992992 25344548 26871328 50689096 69697507 101378192 139395014 202756384 278790028 557580056 1115160112 2230320224