Search a number
-
+
216414536 = 231389103227
BaseRepresentation
bin11001110011000…
…11100101001000
3120002012222221012
430321203211020
5420400231121
633250303052
75235331112
oct1471434510
9502188835
10216414536
11101184498
1260587a88
1335ab3750
1420a563b2
1513eecc5b
hexce63948

216414536 has 64 divisors (see below), whose sum is σ = 448156800. Its totient is φ = 97371648.

The previous prime is 216414511. The next prime is 216414553. The reversal of 216414536 is 635414612.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 953255 + ... + 953481.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2216414536 is an apocalyptic number.

216414536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216414536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

216414536 is an abundant number, since it is smaller than the sum of its proper divisors (231742264).

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

216414536 is a wasteful number, since it uses less digits than its factorization.

216414536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 216414536 is about 14711.0344979542. The cubic root of 216414536 is about 600.3835843491.

The spelling of 216414536 in words is "two hundred sixteen million, four hundred fourteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 89 103 104 178 206 227 356 412 454 712 824 908 1157 1339 1816 2314 2678 2951 4628 5356 5902 9167 9256 10712 11804 18334 20203 23381 23608 36668 40406 46762 73336 80812 93524 119171 161624 187048 238342 262639 303953 476684 525278 607906 953368 1050556 1215812 2080909 2101112 2431624 4161818 8323636 16647272 27051817 54103634 108207268 216414536