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214244420 = 22513824017
BaseRepresentation
bin11001100010100…
…01110001000100
3112221010202002112
430301101301010
5414321310140
633132000152
75211022205
oct1461216104
9487122075
10214244420
11aaa32005
125b900058
1335503a60
142064d5ac
1513c1ec65
hexcc51c44

214244420 has 24 divisors (see below), whose sum is σ = 484522584. Its totient is φ = 79105536.

The previous prime is 214244419. The next prime is 214244423. The reversal of 214244420 is 24442412.

It can be written as a sum of positive squares in 4 ways, for example, as 148996 + 214095424 = 386^2 + 14632^2 .

It is a super-2 number, since 2×2142444202 = 91801343002272800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214244423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411749 + ... + 412268.

It is an arithmetic number, because the mean of its divisors is an integer number (20188441).

Almost surely, 2214244420 is an apocalyptic number.

214244420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214244420 is an abundant number, since it is smaller than the sum of its proper divisors (270278164).

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

214244420 is a wasteful number, since it uses less digits than its factorization.

214244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824039 (or 824037 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 214244420 is about 14637.0905578944. The cubic root of 214244420 is about 598.3700390180.

Adding to 214244420 its reverse (24442412), we get a palindrome (238686832).

The spelling of 214244420 in words is "two hundred fourteen million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 824017 1648034 3296068 4120085 8240170 10712221 16480340 21424442 42848884 53561105 107122210 214244420