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333150020 = 225721719997
BaseRepresentation
bin10011110110110…
…111011101000100
3212012212202220122
4103312313131010
51140241300040
653020321112
711153504600
oct2366673504
9765782818
10333150020
111610665a5
12936a3198
13540367b8
1432362500
151e3ab1b5
hex13db7744

333150020 has 72 divisors (see below), whose sum is σ = 861753816. Its totient is φ = 107498496.

The previous prime is 333150019. The next prime is 333150029. The reversal of 333150020 is 20051333.

It can be written as a sum of positive squares in 4 ways, for example, as 130827844 + 202322176 = 11438^2 + 14224^2 .

It is a super-2 number, since 2×3331500202 = 221977871652000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (333150029) 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 23 ways as a sum of consecutive naturals, for example, 6662 + ... + 26658.

It is an arithmetic number, because the mean of its divisors is an integer number (11968803).

Almost surely, 2333150020 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 333150020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430876908).

333150020 is an abundant number, since it is smaller than the sum of its proper divisors (528603796).

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

333150020 is a wasteful number, since it uses less digits than its factorization.

333150020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20037 (or 20028 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 333150020 is about 18252.3976507198. The cubic root of 333150020 is about 693.2341486775.

The spelling of 333150020 in words is "three hundred thirty-three million, one hundred fifty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 19997 39994 79988 99985 139979 199970 279958 339949 399940 559916 679898 699895 979853 1359796 1399790 1699745 1959706 2379643 2799580 3399490 3919412 4759286 4899265 6798980 9518572 9798530 11898215 16657501 19597060 23796430 33315002 47592860 66630004 83287505 166575010 333150020