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214442020 = 22513824777
BaseRepresentation
bin11001100100000…
…10000000100100
3112221111210011001
430302002000210
5414344121040
633140123044
75212504252
oct1462020044
9487453131
10214442020
11100057511
125b996484
1335572990
14206a15d2
1513c5d59a
hexcc82024

214442020 has 24 divisors (see below), whose sum is σ = 484969464. Its totient is φ = 79178496.

The previous prime is 214441993. The next prime is 214442057. The reversal of 214442020 is 20244412.

It can be written as a sum of positive squares in 4 ways, for example, as 580644 + 213861376 = 762^2 + 14624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412129 + ... + 412648.

It is an arithmetic number, because the mean of its divisors is an integer number (20207061).

Almost surely, 2214442020 is an apocalyptic number.

214442020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214442020 is an abundant number, since it is smaller than the sum of its proper divisors (270527444).

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

214442020 is a wasteful number, since it uses less digits than its factorization.

214442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824799 (or 824797 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 214442020 is about 14643.8389775359. The cubic root of 214442020 is about 598.5539435939.

Adding to 214442020 its reverse (20244412), we get a palindrome (234686432).

The spelling of 214442020 in words is "two hundred fourteen million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 824777 1649554 3299108 4123885 8247770 10722101 16495540 21444202 42888404 53610505 107221010 214442020