[go: up one dir, main page]

Search a number
-
+
3023224224 = 253107294317
BaseRepresentation
bin1011010000110010…
…1011110110100000
321210200201200222120
42310030223312200
522142421133344
61215554104240
7134626660536
oct26414536640
97720650876
103023224224
111311593119
1270457b080
13392456397
14209730156
1512a630219
hexb432bda0

3023224224 has 48 divisors (see below), whose sum is σ = 8010158688. Its totient is φ = 998319872.

The previous prime is 3023224181. The next prime is 3023224229. The reversal of 3023224224 is 4224223203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3023224194 and 3023224203.

It is not an unprimeable number, because it can be changed into a prime (3023224229) 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, 136887 + ... + 157430.

It is an arithmetic number, because the mean of its divisors is an integer number (166878306).

Almost surely, 23023224224 is an apocalyptic number.

It is an amenable number.

3023224224 is an abundant number, since it is smaller than the sum of its proper divisors (4986934464).

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

3023224224 is a wasteful number, since it uses less digits than its factorization.

3023224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294437 (or 294429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3023224224 is about 54983.8542119412. The cubic root of 3023224224 is about 1445.9616885028.

Adding to 3023224224 its reverse (4224223203), we get a palindrome (7247447427).

The spelling of 3023224224 in words is "three billion, twenty-three million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 294317 588634 882951 1177268 1765902 2354536 3531804 4709072 7063608 9418144 14127216 28254432 31491919 62983838 94475757 125967676 188951514 251935352 377903028 503870704 755806056 1007741408 1511612112 3023224224