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385221690 = 23357203821
BaseRepresentation
bin10110111101100…
…000010000111010
3222211212021211000
4112331200100322
51242104043230
6102120345430
712355221210
oct2675402072
9884767730
10385221690
111884a1837
12a9015276
1361a68b39
1439238cb0
1523c44b60
hex16f6043a

385221690 has 64 divisors (see below), whose sum is σ = 1174014720. Its totient is φ = 88050240.

The previous prime is 385221671. The next prime is 385221701. The reversal of 385221690 is 96122583.

385221690 is a `hidden beast` number, since 38 + 522 + 16 + 90 = 666.

It is a super-2 number, since 2×3852216902 = 296791500892912200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100021 + ... + 103800.

It is an arithmetic number, because the mean of its divisors is an integer number (18343980).

Almost surely, 2385221690 is an apocalyptic number.

385221690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

385221690 is an abundant number, since it is smaller than the sum of its proper divisors (788793030).

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

385221690 is a wasteful number, since it uses less digits than its factorization.

385221690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203844 (or 203838 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 385221690 is about 19627.0652416504. The cubic root of 385221690 is about 727.6182398952.

The spelling of 385221690 in words is "three hundred eighty-five million, two hundred twenty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 203821 407642 611463 1019105 1222926 1426747 1834389 2038210 2853494 3057315 3668778 4280241 5503167 6114630 7133735 8560482 9171945 11006334 12840723 14267470 18343890 21401205 25681446 27515835 38522169 42802410 55031670 64203615 77044338 128407230 192610845 385221690