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216466380 = 223251392507
BaseRepresentation
bin11001110011100…
…00001111001100
3120002022122001100
430321300033030
5420403411010
633251343100
75235635214
oct1471601714
9502278040
10216466380
1110120a439
12605b1a90
1335b01220
1420a6b244
151400d2c0
hexce703cc

216466380 has 72 divisors (see below), whose sum is σ = 707131152. Its totient is φ = 53283456.

The previous prime is 216466379. The next prime is 216466381. The reversal of 216466380 is 83664612.

216466380 is a `hidden beast` number, since 2 + 1 + 646 + 6 + 3 + 8 + 0 = 666.

216466380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216466379) and next prime (216466381).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (216466381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43914 + ... + 48593.

It is an arithmetic number, because the mean of its divisors is an integer number (9821266).

Almost surely, 2216466380 is an apocalyptic number.

216466380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216466380 is an abundant number, since it is smaller than the sum of its proper divisors (490664772).

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

216466380 is a wasteful number, since it uses less digits than its factorization.

216466380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92535 (or 92530 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 216466380 is about 14712.7964710996. The cubic root of 216466380 is about 600.4315229056.

The spelling of 216466380 in words is "two hundred sixteen million, four hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 92507 185014 277521 370028 462535 555042 832563 925070 1110084 1202591 1387605 1665126 1850140 2405182 2775210 3330252 3607773 4162815 4810364 5550420 6012955 7215546 8325630 10823319 12025910 14431092 16651260 18038865 21646638 24051820 36077730 43293276 54116595 72155460 108233190 216466380