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216134664 = 23342121391
BaseRepresentation
bin11001110000111…
…11010000001000
3120001200210000120
430320133100020
5420312302124
633240303240
75233054134
oct1470372010
9501623016
10216134664
11101003199
1260471b20
1335a16245
14209c23c4
1513e94d79
hexce1f408

216134664 has 32 divisors (see below), whose sum is σ = 541645440. Its totient is φ = 71870400.

The previous prime is 216134663. The next prime is 216134701. The reversal of 216134664 is 466431612.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (216134663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592 + ... + 20799.

It is an arithmetic number, because the mean of its divisors is an integer number (16926420).

Almost surely, 2216134664 is an apocalyptic number.

216134664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216134664 is an abundant number, since it is smaller than the sum of its proper divisors (325510776).

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

216134664 is a wasteful number, since it uses less digits than its factorization.

216134664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21821 (or 21817 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 216134664 is about 14701.5191051809. The cubic root of 216134664 is about 600.1246629857.

The spelling of 216134664 in words is "two hundred sixteen million, one hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 421 842 1263 1684 2526 3368 5052 10104 21391 42782 64173 85564 128346 171128 256692 513384 9005611 18011222 27016833 36022444 54033666 72044888 108067332 216134664