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668228160 = 26356111411
BaseRepresentation
bin100111110101000…
…101101001000000
31201120101111201010
4213311011221000
52332031300120
6150150240520
722362563025
oct4765055100
91646344633
10668228160
11313219786
12167956140
13a8596aa2
1464a6754c
153d9e87e0
hex27d45a40

668228160 has 112 divisors (see below), whose sum is σ = 2156594112. Its totient is φ = 175257600.

The previous prime is 668228149. The next prime is 668228189. The reversal of 668228160 is 61822866.

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 15 ways as a sum of consecutive naturals, for example, 52855 + ... + 64265.

Almost surely, 2668228160 is an apocalyptic number.

668228160 is a gapful number since it is divisible by the number (60) 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 668228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078297056).

668228160 is an abundant number, since it is smaller than the sum of its proper divisors (1488365952).

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

668228160 is a wasteful number, since it uses less digits than its factorization.

668228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11492 (or 11482 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 668228160 is about 25850.1094775245. The cubic root of 668228160 is about 874.2619779597.

The spelling of 668228160 in words is "six hundred sixty-eight million, two hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 7320 9760 11411 11712 14640 19520 22822 29280 34233 45644 57055 58560 68466 91288 114110 136932 171165 182576 228220 273864 342330 365152 456440 547728 684660 696071 730304 912880 1095456 1369320 1392142 1825760 2088213 2190912 2738640 2784284 3480355 3651520 4176426 5477280 5568568 6960710 8352852 10441065 10954560 11137136 13921420 16705704 20882130 22274272 27842840 33411408 41764260 44548544 55685680 66822816 83528520 111371360 133645632 167057040 222742720 334114080 668228160