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20335214000 = 245337327259
BaseRepresentation
bin10010111100000100…
…101011110110110000
31221111012021220102002
4102330010223312300
5313121303322000
613201502113132
71316632316123
oct227404536660
957435256362
1020335214000
118695775292
123b3627b7a8
131bc0c84a0a
14daca243ba
157e03d38d5
hex4bc12bdb0

20335214000 has 80 divisors (see below), whose sum is σ = 49304180640. Its totient is φ = 8111980800.

The previous prime is 20335213981. The next prime is 20335214017. The reversal of 20335214000 is 41253302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 732371 + ... + 759629.

It is an arithmetic number, because the mean of its divisors is an integer number (616302258).

Almost surely, 220335214000 is an apocalyptic number.

20335214000 is a gapful number since it is divisible by the number (20) 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 20335214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24652090320).

20335214000 is an abundant number, since it is smaller than the sum of its proper divisors (28968966640).

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

20335214000 is a wasteful number, since it uses less digits than its factorization.

20335214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27655 (or 27639 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 20335214000 its reverse (41253302), we get a palindrome (20376467302).

The spelling of 20335214000 in words is "twenty billion, three hundred thirty-five million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 373 400 500 746 1000 1492 1865 2000 2984 3730 5968 7460 9325 14920 18650 27259 29840 37300 46625 54518 74600 93250 109036 136295 149200 186500 218072 272590 373000 436144 545180 681475 746000 1090360 1362950 2180720 2725900 3407375 5451800 6814750 10167607 10903600 13629500 20335214 27259000 40670428 50838035 54518000 81340856 101676070 162681712 203352140 254190175 406704280 508380350 813408560 1016760700 1270950875 2033521400 2541901750 4067042800 5083803500 10167607000 20335214000