Search a number
-
+
168212448 = 25323183227
BaseRepresentation
bin10100000011010…
…11011111100000
3102201112002002200
422001223133200
5321030244243
624405213200
74111532205
oct1201533740
9381462080
10168212448
1186a51558
1248401200
1328b077c1
14184a9cac
15eb7aad3
hexa06b7e0

168212448 has 144 divisors (see below), whose sum is σ = 501935616. Its totient is φ = 53372160.

The previous prime is 168212437. The next prime is 168212459. The reversal of 168212448 is 844212861.

It is an interprime number because it is at equal distance from previous prime (168212437) and next prime (168212459).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 740911 + ... + 741137.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2168212448 is an apocalyptic number.

168212448 is a gapful number since it is divisible by the number (18) 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 168212448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

168212448 is an abundant number, since it is smaller than the sum of its proper divisors (333723168).

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

168212448 is a wasteful number, since it uses less digits than its factorization.

168212448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 168212448 is about 12969.6741670714. The cubic root of 168212448 is about 552.0173277484.

The spelling of 168212448 in words is "one hundred sixty-eight million, two hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 83 93 96 124 144 166 186 227 248 249 279 288 332 372 454 496 498 558 664 681 744 747 908 992 996 1116 1328 1362 1488 1494 1816 1992 2043 2232 2573 2656 2724 2976 2988 3632 3984 4086 4464 5146 5448 5976 7037 7264 7719 7968 8172 8928 10292 10896 11952 14074 15438 16344 18841 20584 21111 21792 23157 23904 28148 30876 32688 37682 41168 42222 46314 56296 56523 61752 63333 65376 75364 82336 84444 92628 112592 113046 123504 126666 150728 168888 169569 185256 225184 226092 247008 253332 301456 337776 339138 370512 452184 506664 584071 602912 675552 678276 741024 904368 1013328 1168142 1356552 1752213 1808736 2026656 2336284 2713104 3504426 4672568 5256639 5426208 7008852 9345136 10513278 14017704 18690272 21026556 28035408 42053112 56070816 84106224 168212448