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216220914 = 2357134889
BaseRepresentation
bin11001110001101…
…00010011110010
3120001212011100000
430320310103302
5420323032124
633242210430
75233563450
oct1470642362
9501764300
10216220914
11101061a78
12604b3a16
1335a46590
1420a059d0
1513eb06c9
hexce344f2

216220914 has 96 divisors (see below), whose sum is σ = 598066560. Its totient is φ = 57013632.

The previous prime is 216220883. The next prime is 216220919. The reversal of 216220914 is 419022612.

216220914 is a `hidden beast` number, since 21 + 622 + 0 + 9 + 14 = 666.

216220914 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (216220919) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41782 + ... + 46670.

It is an arithmetic number, because the mean of its divisors is an integer number (6229860).

Almost surely, 2216220914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216220914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299033280).

216220914 is an abundant number, since it is smaller than the sum of its proper divisors (381845646).

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

216220914 is a wasteful number, since it uses less digits than its factorization.

216220914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 216220914 is about 14704.4521829275. The cubic root of 216220914 is about 600.2044803051.

The spelling of 216220914 in words is "two hundred sixteen million, two hundred twenty thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 819 1053 1134 1638 1701 2106 2457 3159 3402 4889 4914 6318 7371 9778 14667 14742 22113 29334 34223 44001 44226 63557 68446 88002 102669 127114 132003 190671 205338 264006 308007 381342 396009 444899 572013 616014 792018 889798 924021 1144026 1188027 1334697 1716039 1848042 2376054 2669394 2772063 3432078 4004091 5148117 5544126 8008182 8316189 10296234 12012273 15444351 16632378 24024546 30888702 36036819 72073638 108110457 216220914