Search a number
-
+
168226016 = 2572176311
BaseRepresentation
bin10100000011011…
…10110011100000
3102201112202201012
422001232303200
5321031213031
624405400052
74111616600
oct1201566340
9381482635
10168226016
1186a60772
1248409028
1328b10a2a
14184b0c00
15eb7eb2b
hexa06ece0

168226016 has 72 divisors (see below), whose sum is σ = 407995056. Its totient is φ = 67845120.

The previous prime is 168225991. The next prime is 168226039. The reversal of 168226016 is 610622861.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23501 + ... + 29811.

It is an arithmetic number, because the mean of its divisors is an integer number (5666598).

Almost surely, 2168226016 is an apocalyptic number.

168226016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168226016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203997528).

168226016 is an abundant number, since it is smaller than the sum of its proper divisors (239769040).

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

168226016 is a wasteful number, since it uses less digits than its factorization.

168226016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 168226016 is about 12970.1972228644. The cubic root of 168226016 is about 552.0321692377.

Adding to 168226016 its reverse (610622861), we get a palindrome (778848877).

The spelling of 168226016 in words is "one hundred sixty-eight million, two hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 6311 6664 12622 13328 25244 26656 44177 50488 88354 100976 107287 176708 201952 214574 309239 353416 429148 618478 706832 751009 858296 1236956 1413664 1502018 1716592 2473912 3004036 3433184 4947824 5257063 6008072 9895648 10514126 12016144 21028252 24032288 42056504 84113008 168226016