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168212952 = 233237233271
BaseRepresentation
bin10100000011010…
…11100111011000
3102201112002210100
422001223213120
5321030303302
624405215400
74111533525
oct1201534730
9381462710
10168212952
1186a51976
1248401560
1328b07abb
14184aa14c
15eb7ad1c
hexa06b9d8

168212952 has 96 divisors (see below), whose sum is σ = 471631680. Its totient is φ = 54120960.

The previous prime is 168212927. The next prime is 168212983. The reversal of 168212952 is 259212861.

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

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, 620577 + ... + 620847.

It is an arithmetic number, because the mean of its divisors is an integer number (4912830).

Almost surely, 2168212952 is an apocalyptic number.

168212952 is a gapful number since it is divisible by the number (12) 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 168212952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235815840).

168212952 is an abundant number, since it is smaller than the sum of its proper divisors (303418728).

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

168212952 is a wasteful number, since it uses less digits than its factorization.

168212952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 168212952 is about 12969.6935969976. The cubic root of 168212952 is about 552.0178790680.

Subtracting 168212952 from its reverse (259212861), we obtain a palindrome (90999909).

The spelling of 168212952 in words is "one hundred sixty-eight million, two hundred twelve thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 233 271 296 333 444 466 542 666 699 813 888 932 1084 1332 1398 1626 1864 2097 2168 2439 2664 2796 3252 4194 4878 5592 6504 8388 8621 9756 10027 16776 17242 19512 20054 25863 30081 34484 40108 51726 60162 63143 68968 77589 80216 90243 103452 120324 126286 155178 180486 189429 206904 240648 252572 310356 360972 378858 505144 568287 620712 721944 757716 1136574 1515432 2273148 2336291 4546296 4672582 7008873 9345164 14017746 18690328 21026619 28035492 42053238 56070984 84106476 168212952