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216808848 = 243219109727
BaseRepresentation
bin11001110110000…
…11110110010000
3120002222000211100
430323003312100
5421000340343
633302544400
75241562524
oct1473036620
9502860740
10216808848
11101423773
1260738100
1335bc1079
1420b19d84
15140799d3
hexcec3d90

216808848 has 120 divisors (see below), whose sum is σ = 645444800. Its totient is φ = 67744512.

The previous prime is 216808841. The next prime is 216808873. The reversal of 216808848 is 848808612.

It is a happy number.

216808848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216808841) 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, 297861 + ... + 298587.

Almost surely, 2216808848 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 216808848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322722400).

216808848 is an abundant number, since it is smaller than the sum of its proper divisors (428635952).

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

216808848 is a wasteful number, since it uses less digits than its factorization.

216808848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 216808848 is about 14724.4303115604. The cubic root of 216808848 is about 600.7480004381.

The spelling of 216808848 in words is "two hundred sixteen million, eight hundred eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 109 114 144 152 171 218 228 304 327 342 436 456 654 684 727 872 912 981 1308 1368 1454 1744 1962 2071 2181 2616 2736 2908 3924 4142 4362 5232 5816 6213 6543 7848 8284 8724 11632 12426 13086 13813 15696 16568 17448 18639 24852 26172 27626 33136 34896 37278 41439 49704 52344 55252 74556 79243 82878 99408 104688 110504 124317 149112 158486 165756 221008 237729 248634 298224 316972 331512 475458 497268 633944 663024 713187 950916 994536 1267888 1426374 1505617 1901832 1989072 2852748 3011234 3803664 4516851 5705496 6022468 9033702 11410992 12044936 13550553 18067404 24089872 27101106 36134808 54202212 72269616 108404424 216808848