Search a number
-
+
162610008228 = 22327016443573
BaseRepresentation
bin1001011101110001001…
…1111101000010100100
3120112201120102022012100
42113130103331002210
510131011130230403
6202411344452100
714514425156433
oct2273423750244
9515646368170
10162610008228
1162a65123a58
122762191a030
1312445c050a5
147c283dd11a
15436ab982a3
hex25dc4fd0a4

162610008228 has 36 divisors (see below), whose sum is σ = 411628394268. Its totient is φ = 54126004800.

The previous prime is 162610008203. The next prime is 162610008229. The reversal of 162610008228 is 822800016261.

162610008228 is a `hidden beast` number, since 1 + 626 + 1 + 0 + 0 + 0 + 8 + 2 + 28 = 666.

162610008228 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 89037785664 + 73572222564 = 298392^2 + 271242^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 162610008192 and 162610008201.

It is not an unprimeable number, because it can be changed into a prime (162610008229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3196551 + ... + 3247022.

It is an arithmetic number, because the mean of its divisors is an integer number (11434122063).

Almost surely, 2162610008228 is an apocalyptic number.

162610008228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

162610008228 is an abundant number, since it is smaller than the sum of its proper divisors (249018386040).

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

162610008228 is a wasteful number, since it uses less digits than its factorization.

162610008228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444284 (or 6444279 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 162610008228 in words is "one hundred sixty-two billion, six hundred ten million, eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 701 1402 2103 2804 4206 6309 8412 12618 25236 6443573 12887146 19330719 25774292 38661438 57992157 77322876 115984314 231968628 4516944673 9033889346 13550834019 18067778692 27101668038 40652502057 54203336076 81305004114 162610008228