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355164150 = 2352111911329
BaseRepresentation
bin10101001010110…
…101111111110110
3220202022012121210
4111022311333312
51211410223100
655124222250
711541562665
oct2512657766
9822265553
10355164150
111725320a0
129ab3a986
1358773903
1435252ddc
15212a8c50
hex152b5ff6

355164150 has 96 divisors (see below), whose sum is σ = 1011542400. Its totient is φ = 81561600.

The previous prime is 355164149. The next prime is 355164157. The reversal of 355164150 is 51461553.

It is a super-2 number, since 2×3551641502 = 252283146890445000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355164157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25686 + ... + 37014.

It is an arithmetic number, because the mean of its divisors is an integer number (10536900).

Almost surely, 2355164150 is an apocalyptic number.

355164150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 355164150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505771200).

355164150 is an abundant number, since it is smaller than the sum of its proper divisors (656378250).

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

355164150 is a wasteful number, since it uses less digits than its factorization.

355164150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11374 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 355164150 is about 18845.7992666801. The cubic root of 355164150 is about 708.1789941319.

The spelling of 355164150 in words is "three hundred fifty-five million, one hundred sixty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 75 95 110 114 150 165 190 209 275 285 330 418 475 550 570 627 825 950 1045 1254 1425 1650 2090 2850 3135 5225 6270 10450 11329 15675 22658 31350 33987 56645 67974 113290 124619 169935 215251 249238 283225 339870 373857 430502 566450 623095 645753 747714 849675 1076255 1246190 1291506 1699350 1869285 2152510 2367761 3115475 3228765 3738570 4735522 5381275 6230950 6457530 7103283 9346425 10762550 11838805 14206566 16143825 18692850 23677610 32287650 35516415 59194025 71032830 118388050 177582075 355164150