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216905728 = 211138147
BaseRepresentation
bin11001110110110…
…11100000000000
3120010010221201111
430323123200000
5421011440403
633305013104
75242445134
oct1473334000
9503127644
10216905728
1110148a536
1260784194
1335c261b0
1420b433c4
151409856d
hexcedb800

216905728 has 48 divisors (see below), whose sum is σ = 467124840. Its totient is φ = 100098048.

The previous prime is 216905719. The next prime is 216905783. The reversal of 216905728 is 827509612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22551 + ... + 30697.

Almost surely, 2216905728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233562420).

216905728 is an abundant number, since it is smaller than the sum of its proper divisors (250219112).

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

216905728 is an equidigital number, since it uses as much as digits as its factorization.

216905728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 8162 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 216905728 is about 14727.7197148778. The cubic root of 216905728 is about 600.8374675733.

The spelling of 216905728 in words is "two hundred sixteen million, nine hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 6656 8147 13312 16294 26624 32588 65176 105911 130352 211822 260704 423644 521408 847288 1042816 1694576 2085632 3389152 4171264 6778304 8342528 13556608 16685056 27113216 54226432 108452864 216905728