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217160420 = 22510858021
BaseRepresentation
bin11001111000110…
…01101011100100
3120010121220002112
430330121223210
5421043113140
633314300152
75244555521
oct1474315344
9503556075
10217160420
11101643924
1260887658
1335cb50b9
1420bac148
15140e8c65
hexcf19ae4

217160420 has 12 divisors (see below), whose sum is σ = 456036924. Its totient is φ = 86864160.

The previous prime is 217160413. The next prime is 217160423. The reversal of 217160420 is 24061712.

217160420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 105308644 + 111851776 = 10262^2 + 10576^2 .

It is not an unprimeable number, because it can be changed into a prime (217160423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5428991 + ... + 5429030.

It is an arithmetic number, because the mean of its divisors is an integer number (38003077).

Almost surely, 2217160420 is an apocalyptic number.

217160420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217160420 is an abundant number, since it is smaller than the sum of its proper divisors (238876504).

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

217160420 is a wasteful number, since it uses less digits than its factorization.

217160420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10858030 (or 10858028 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 217160420 is about 14736.3638663003. The cubic root of 217160420 is about 601.0725445675.

The spelling of 217160420 in words is "two hundred seventeen million, one hundred sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 10858021 21716042 43432084 54290105 108580210 217160420