Search a number
-
+
1630051224 = 233432336779
BaseRepresentation
bin110000100101000…
…1001101110011000
311012121020011220120
41201022021232120
511314243114344
6425425353240
755252130634
oct14112115630
94177204816
101630051224
1176713767a
12395a98820
131cc928169
141166b7dc4
1598188219
hex61289b98

1630051224 has 64 divisors (see below), whose sum is σ = 4188412800. Its totient is φ = 528358656.

The previous prime is 1630051177. The next prime is 1630051231. The reversal of 1630051224 is 4221500361.

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 = 1630051194 and 1630051203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237067 + ... + 243845.

It is an arithmetic number, because the mean of its divisors is an integer number (65443950).

Almost surely, 21630051224 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 1630051224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094206400).

1630051224 is an abundant number, since it is smaller than the sum of its proper divisors (2558361576).

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

1630051224 is a wasteful number, since it uses less digits than its factorization.

With its successor (1630051225) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (7060).

With its successor (1630051225) it forms an eRAP, since the sums of their prime factors are consecutive (7064 and 7065).

1630051224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1630051224 is about 40373.8928516932. The cubic root of 1630051224 is about 1176.8842498046.

Adding to 1630051224 its reverse (4221500361), we get a palindrome (5851551585).

The spelling of 1630051224 in words is "one billion, six hundred thirty million, fifty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 233 258 344 466 516 699 932 1032 1398 1864 2796 5592 6779 10019 13558 20038 20337 27116 30057 40076 40674 54232 60114 80152 81348 120228 162696 240456 291497 582994 874491 1165988 1579507 1748982 2331976 3159014 3497964 4738521 6318028 6995928 9477042 12636056 18954084 37908168 67918801 135837602 203756403 271675204 407512806 543350408 815025612 1630051224