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146668332 = 223232272341
BaseRepresentation
bin10001011110111…
…11101100101100
3101012222112010110
420233133230230
5300021341312
622315340020
73430442316
oct1057375454
9335875113
10146668332
11758770a8
1241151610
13245035c5
141569c7b6
15cd2243c
hex8bdfb2c

146668332 has 48 divisors (see below), whose sum is σ = 358831872. Its totient is φ = 46537920.

The previous prime is 146668307. The next prime is 146668337. The reversal of 146668332 is 233866641.

It is a super-2 number, since 2×1466683322 = 43023199223324448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146668337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61482 + ... + 63822.

It is an arithmetic number, because the mean of its divisors is an integer number (7475664).

Almost surely, 2146668332 is an apocalyptic number.

146668332 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 146668332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179415936).

146668332 is an abundant number, since it is smaller than the sum of its proper divisors (212163540).

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

146668332 is a wasteful number, since it uses less digits than its factorization.

146668332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2596 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 146668332 is about 12110.6701713819. The cubic root of 146668332 is about 527.3659888829.

The spelling of 146668332 in words is "one hundred forty-six million, six hundred sixty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 227 276 454 681 908 1362 2341 2724 4682 5221 7023 9364 10442 14046 15663 20884 28092 31326 53843 62652 107686 161529 215372 323058 531407 646116 1062814 1594221 2125628 3188442 6376884 12222361 24444722 36667083 48889444 73334166 146668332