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216701352 = 23337251571
BaseRepresentation
bin11001110101010…
…01100110101000
3120002202120101000
430322221212220
5420433420402
633300355000
75240634240
oct1472514650
9502676330
10216701352
1110135aa2a
12606a5a60
1335b8416a
1420accb20
1514057c1c
hexcea99a8

216701352 has 128 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 61560000.

The previous prime is 216701323. The next prime is 216701393. The reversal of 216701352 is 253107612.

It is a happy number.

216701352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379227 + ... + 379797.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2216701352 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 216701352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

216701352 is an abundant number, since it is smaller than the sum of its proper divisors (475189848).

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

216701352 is a wasteful number, since it uses less digits than its factorization.

216701352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 216701352 is about 14720.7795989207. The cubic root of 216701352 is about 600.6486983979.

Adding to 216701352 its reverse (253107612), we get a palindrome (469808964).

The spelling of 216701352 in words is "two hundred sixteen million, seven hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 251 252 378 502 504 571 753 756 1004 1142 1506 1512 1713 1757 2008 2259 2284 3012 3426 3514 3997 4518 4568 5139 5271 6024 6777 6852 7028 7994 9036 10278 10542 11991 13554 13704 14056 15417 15813 15988 18072 20556 21084 23982 27108 30834 31626 31976 35973 41112 42168 47439 47964 54216 61668 63252 71946 94878 95928 107919 123336 126504 143321 143892 189756 215838 286642 287784 379512 429963 431676 573284 859926 863352 1003247 1146568 1289889 1719852 2006494 2579778 3009741 3439704 3869667 4012988 5159556 6019482 7739334 8025976 9029223 10319112 12038964 15478668 18058446 24077928 27087669 30957336 36116892 54175338 72233784 108350676 216701352