Search a number
-
+
216236601 = 3371398231
BaseRepresentation
bin11001110001110…
…00001000111001
3120001212221212000
430320320020321
5420324032401
633242411213
75233660260
oct1470701071
9501787760
10216236601
11101072839
1260500b09
1335a50769
1420a0b5d7
1513eb5186
hexce38239

216236601 has 32 divisors (see below), whose sum is σ = 368793600. Its totient is φ = 122659920.

The previous prime is 216236599. The next prime is 216236609. The reversal of 216236601 is 106632612.

216236601 is a `hidden beast` number, since 21 + 6 + 2 + 36 + 601 = 666.

It is not a de Polignac number, because 216236601 - 21 = 216236599 is a prime.

It is a super-3 number, since 3×2162366013 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (216236609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22156 + ... + 30386.

It is an arithmetic number, because the mean of its divisors is an integer number (11524800).

Almost surely, 2216236601 is an apocalyptic number.

216236601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

216236601 is a deficient number, since it is larger than the sum of its proper divisors (152556999).

216236601 is a wasteful number, since it uses less digits than its factorization.

216236601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8380 counting only the distinct ones).

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

The square root of 216236601 is about 14704.9855831279. The cubic root of 216236601 is about 600.2189950589.

It can be divided in two parts, 21623 and 6601, that added together give a square (28224 = 1682).

The spelling of 216236601 in words is "two hundred sixteen million, two hundred thirty-six thousand, six hundred one".

Divisors: 1 3 7 9 21 27 63 139 189 417 973 1251 2919 3753 8231 8757 24693 26271 57617 74079 172851 222237 518553 1144109 1555659 3432327 8008763 10296981 24026289 30890943 72078867 216236601