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668146224 = 24331736151
BaseRepresentation
bin100111110100110…
…001101000110000
31201120020100022110
4213310301220300
52332021134344
6150144405320
722362102114
oct4764615060
91646210273
10668146224
11313173169
12167916840
13a85686c5
1464a45744
153d9ce3b9
hex27d31a30

668146224 has 80 divisors (see below), whose sum is σ = 1806424064. Its totient is φ = 212544000.

The previous prime is 668146217. The next prime is 668146253. The reversal of 668146224 is 422641866.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105549 + ... + 111699.

Almost surely, 2668146224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668146224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903212032).

668146224 is an abundant number, since it is smaller than the sum of its proper divisors (1138277840).

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

668146224 is a wasteful number, since it uses less digits than its factorization.

668146224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6260 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 668146224 is about 25848.5246000618. The cubic root of 668146224 is about 874.2262434298.

The spelling of 668146224 in words is "six hundred sixty-eight million, one hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 73 93 124 146 186 219 248 292 372 438 496 584 744 876 1168 1488 1752 2263 3504 4526 6151 6789 9052 12302 13578 18104 18453 24604 27156 36208 36906 49208 54312 73812 98416 108624 147624 190681 295248 381362 449023 572043 762724 898046 1144086 1347069 1525448 1796092 2288172 2694138 3050896 3592184 4576344 5388276 7184368 9152688 10776552 13919713 21553104 27839426 41759139 55678852 83518278 111357704 167036556 222715408 334073112 668146224