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216414406 = 21323379781
BaseRepresentation
bin11001110011000…
…11100011000110
3120002012222202101
430321203203012
5420400230111
633250302314
75235330535
oct1471434306
9502188671
10216414406
1110118438a
126058799a
1335ab3680
1420a5631c
1513eecbc1
hexce638c6

216414406 has 32 divisors (see below), whose sum is σ = 374689728. Its totient is φ = 92949120.

The previous prime is 216414347. The next prime is 216414409. The reversal of 216414406 is 604414612.

216414406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216414409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17236 + ... + 27016.

It is an arithmetic number, because the mean of its divisors is an integer number (11709054).

Almost surely, 2216414406 is an apocalyptic number.

216414406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

216414406 is a deficient number, since it is larger than the sum of its proper divisors (158275322).

216414406 is a wasteful number, since it uses less digits than its factorization.

216414406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 216414406 is about 14711.0300795016. The cubic root of 216414406 is about 600.3834641325.

The spelling of 216414406 in words is "two hundred sixteen million, four hundred fourteen thousand, four hundred six".

Divisors: 1 2 13 23 26 37 46 74 299 481 598 851 962 1702 9781 11063 19562 22126 127153 224963 254306 361897 449926 723794 2924519 4704661 5849038 8323631 9409322 16647262 108207203 216414406