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216134631 = 32892391129
BaseRepresentation
bin11001110000111…
…11001111100111
3120001200202222100
430320133033213
5420312302011
633240303143
75233054056
oct1470371747
9501622870
10216134631
11101003169
1260471ab3
1335a1621b
14209c239d
1513e94d56
hexce1f3e7

216134631 has 24 divisors (see below), whose sum is σ = 317304000. Its totient is φ = 141748992.

The previous prime is 216134629. The next prime is 216134663. The reversal of 216134631 is 136431612.

216134631 is a `hidden beast` number, since 2 + 1 + 613 + 46 + 3 + 1 = 666.

It is not a de Polignac number, because 216134631 - 21 = 216134629 is a prime.

It is a super-2 number, since 2×2161346312 = 93428357435012322, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 216134595 and 216134604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216134621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190875 + ... + 192003.

It is an arithmetic number, because the mean of its divisors is an integer number (13221000).

Almost surely, 2216134631 is an apocalyptic number.

216134631 is a deficient number, since it is larger than the sum of its proper divisors (101169369).

216134631 is a wasteful number, since it uses less digits than its factorization.

216134631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1460 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 216134631 is about 14701.5179828479. The cubic root of 216134631 is about 600.1246324428.

It can be divided in two parts, 21613 and 4631, that added together give a square (26244 = 1622).

The spelling of 216134631 in words is "two hundred sixteen million, one hundred thirty-four thousand, six hundred thirty-one".

Divisors: 1 3 9 89 239 267 717 801 1129 2151 3387 10161 21271 63813 100481 191439 269831 301443 809493 904329 2428479 24014959 72044877 216134631