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216480654 = 233131132729
BaseRepresentation
bin11001110011100…
…11101110001110
3120002100100122000
430321303232032
5420404340104
633251533130
75236024635
oct1471635616
9502310560
10216480654
1110121a135
12605ba1a6
1335b07880
1420a7251c
1514012639
hexce73b8e

216480654 has 64 divisors (see below), whose sum is σ = 522849600. Its totient is φ = 65995776.

The previous prime is 216480653. The next prime is 216480659. The reversal of 216480654 is 456084612.

216480654 is a `hidden beast` number, since 2 + 1 + 648 + 0 + 6 + 5 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216480653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77962 + ... + 80690.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2216480654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216480654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

216480654 is an abundant number, since it is smaller than the sum of its proper divisors (306368946).

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

216480654 is a wasteful number, since it uses less digits than its factorization.

216480654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 216480654 is about 14713.2815510341. The cubic root of 216480654 is about 600.4447202917. Note that the first 3 decimals are identical.

The spelling of 216480654 in words is "two hundred sixteen million, four hundred eighty thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 113 117 226 234 339 351 678 702 1017 1469 2034 2729 2938 3051 4407 5458 6102 8187 8814 13221 16374 24561 26442 35477 39663 49122 70954 73683 79326 106431 147366 212862 308377 319293 616754 638586 925131 957879 1850262 1915758 2775393 4008901 5550786 8017802 8326179 12026703 16652358 24053406 36080109 72160218 108240327 216480654