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214030020 = 22356595413
BaseRepresentation
bin11001100000111…
…01011011000100
3112220201211222210
430300131123010
5414242430040
633123223420
75206140141
oct1460353304
9486654883
10214030020
11aa8a5a16
125b817b70
133545a2a9
14205d53c8
1513bcb480
hexcc1d6c4

214030020 has 48 divisors (see below), whose sum is σ = 600304320. Its totient is φ = 56977536.

The previous prime is 214030013. The next prime is 214030043. The reversal of 214030020 is 20030412.

It is a super-2 number, since 2×2140300202 = 91617698922400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 214029978 and 214030005.

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, 36834 + ... + 42246.

It is an arithmetic number, because the mean of its divisors is an integer number (12506340).

Almost surely, 2214030020 is an apocalyptic number.

214030020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214030020 is an abundant number, since it is smaller than the sum of its proper divisors (386274300).

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

214030020 is a wasteful number, since it uses less digits than its factorization.

214030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 214030020 is about 14629.7648648227. The cubic root of 214030020 is about 598.1703708776.

Adding to 214030020 its reverse (20030412), we get a palindrome (234060432).

The spelling of 214030020 in words is "two hundred fourteen million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 659 1318 1977 2636 3295 3954 5413 6590 7908 9885 10826 13180 16239 19770 21652 27065 32478 39540 54130 64956 81195 108260 162390 324780 3567167 7134334 10701501 14268668 17835835 21403002 35671670 42806004 53507505 71343340 107015010 214030020