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216323406 = 23313308153
BaseRepresentation
bin11001110010011…
…01010101001110
3120002001100221000
430321031111032
5420334322111
633244321130
75234501325
oct1471152516
9502040830
10216323406
11101121a82
12605431a6
1335a81120
1420a310bc
1513ed0c56
hexce4d54e

216323406 has 32 divisors (see below), whose sum is σ = 517698720. Its totient is φ = 66560832.

The previous prime is 216323399. The next prime is 216323407. The reversal of 216323406 is 604323612.

216323406 is a `hidden beast` number, since 21 + 632 + 3 + 4 + 0 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 216323406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216323407) 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, 153375 + ... + 154778.

It is an arithmetic number, because the mean of its divisors is an integer number (16178085).

Almost surely, 2216323406 is an apocalyptic number.

216323406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

216323406 is an abundant number, since it is smaller than the sum of its proper divisors (301375314).

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

216323406 is a wasteful number, since it uses less digits than its factorization.

216323406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308177 (or 308171 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 216323406 is about 14707.9368369598. The cubic root of 216323406 is about 600.2993006737.

The spelling of 216323406 in words is "two hundred sixteen million, three hundred twenty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 308153 616306 924459 1848918 2773377 4005989 5546754 8011978 8320131 12017967 16640262 24035934 36053901 72107802 108161703 216323406