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216810420 = 223523157109
BaseRepresentation
bin11001110110001…
…00001110110100
3120002222002222120
430323010032310
5421000413140
633302555540
75241600231
oct1473041664
9502862876
10216810420
11101424972
1260738bb0
1335bc19b8
1420b1a788
151407a1d0
hexcec43b4

216810420 has 48 divisors (see below), whose sum is σ = 633467520. Its totient is φ = 55302016.

The previous prime is 216810329. The next prime is 216810421. The reversal of 216810420 is 24018612.

216810420 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 (216810421) 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, 77175 + ... + 79934.

It is an arithmetic number, because the mean of its divisors is an integer number (13197240).

Almost surely, 2216810420 is an apocalyptic number.

216810420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216810420 is an abundant number, since it is smaller than the sum of its proper divisors (416657100).

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

216810420 is a wasteful number, since it uses less digits than its factorization.

216810420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157144 (or 157142 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 216810420 is about 14724.4836921367. The cubic root of 216810420 is about 600.7494523677.

The spelling of 216810420 in words is "two hundred sixteen million, eight hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 157109 314218 471327 628436 785545 942654 1571090 1885308 2356635 3142180 3613507 4713270 7227014 9426540 10840521 14454028 18067535 21681042 36135070 43362084 54202605 72270140 108405210 216810420