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472470205 = 5172378837
BaseRepresentation
bin11100001010010…
…101001010111101
31012221000222021111
4130022111022331
51431423021310
6114514402021
714464634104
oct3412251275
91187028244
10472470205
11222773949
12112290311
1376b6658c
1446a6b03b
152b72b28a
hex1c2952bd

472470205 has 24 divisors (see below), whose sum is σ = 618624648. Its totient is φ = 346088448.

The previous prime is 472470199. The next prime is 472470227. The reversal of 472470205 is 502074274.

It can be written as a sum of positive squares in 12 ways, for example, as 86229796 + 386240409 = 9286^2 + 19653^2 .

It is not a de Polignac number, because 472470205 - 219 = 471945917 is a prime.

It is a super-2 number, since 2×4724702052 = 446456189225484050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49047 + ... + 57883.

It is an arithmetic number, because the mean of its divisors is an integer number (25776027).

Almost surely, 2472470205 is an apocalyptic number.

It is an amenable number.

472470205 is a deficient number, since it is larger than the sum of its proper divisors (146154443).

472470205 is a wasteful number, since it uses less digits than its factorization.

472470205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 472470205 is about 21736.3797583682. The cubic root of 472470205 is about 778.8577434667.

The spelling of 472470205 in words is "four hundred seventy-two million, four hundred seventy thousand, two hundred five".

Divisors: 1 5 17 37 85 185 289 629 1445 3145 8837 10693 44185 53465 150229 326969 751145 1634845 2553893 5558473 12769465 27792365 94494041 472470205