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214322020 = 225117113721
BaseRepresentation
bin11001100011001…
…00101101100100
3112221021200112121
430301210231210
5414331301040
633133355324
75211464353
oct1461445544
9487250477
10214322020
11aaa85340
125b938b44
1335530183
142066d99a
1513c37c4a
hexcc64b64

214322020 has 48 divisors (see below), whose sum is σ = 497943936. Its totient is φ = 76832000.

The previous prime is 214322011. The next prime is 214322039. The reversal of 214322020 is 20223412.

It is a junction number, because it is equal to n+sod(n) for n = 214321985 and 214322003.

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, 8760 + ... + 22480.

It is an arithmetic number, because the mean of its divisors is an integer number (10373832).

Almost surely, 2214322020 is an apocalyptic number.

214322020 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 214322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248971968).

214322020 is an abundant number, since it is smaller than the sum of its proper divisors (283621916).

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

214322020 is a wasteful number, since it uses less digits than its factorization.

214322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13812 (or 13810 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 214322020 is about 14639.7411179296. The cubic root of 214322020 is about 598.4422741315.

Adding to 214322020 its reverse (20223412), we get a palindrome (234545432).

The spelling of 214322020 in words is "two hundred fourteen million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 13721 15620 27442 54884 68605 137210 150931 274420 301862 603724 754655 974191 1509310 1948382 3018620 3896764 4870955 9741910 10716101 19483820 21432202 42864404 53580505 107161010 214322020