Search a number
-
+
1613012224 = 2817973821
BaseRepresentation
bin110000000100100…
…1001110100000000
311011102011111210111
41200021021310000
511300412342344
6424020241104
754654243355
oct14011116400
94142144714
101613012224
11758559a5a
12390240194
131c9240705
1411432062c
159691e834
hex60249d00

1613012224 has 72 divisors (see below), whose sum is σ = 3445166088. Its totient is φ = 751042560.

The previous prime is 1613012221. The next prime is 1613012231. The reversal of 1613012224 is 4222103161.

It can be written as a sum of positive squares in 4 ways, for example, as 741581824 + 871430400 = 27232^2 + 29520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1613012195 and 1613012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613012221) 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, 420234 + ... + 424054.

It is an arithmetic number, because the mean of its divisors is an integer number (47849529).

Almost surely, 21613012224 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 1613012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722583044).

1613012224 is an abundant number, since it is smaller than the sum of its proper divisors (1832153864).

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

1613012224 is an equidigital number, since it uses as much as digits as its factorization.

1613012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1613012224 is about 40162.3234387653. The cubic root of 1613012224 is about 1172.7692031020.

Adding to 1613012224 its reverse (4222103161), we get a palindrome (5835115385).

The spelling of 1613012224 in words is "one billion, six hundred thirteen million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 128 136 194 256 272 388 544 776 1088 1552 1649 2176 3104 3298 3821 4352 6208 6596 7642 12416 13192 15284 24832 26384 30568 52768 61136 64957 105536 122272 129914 211072 244544 259828 370637 422144 489088 519656 741274 978176 1039312 1482548 2078624 2965096 4157248 5930192 6300829 8314496 11860384 12601658 16628992 23720768 25203316 47441536 50406632 94883072 100813264 201626528 403253056 806506112 1613012224