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216334620 = 223254432713
BaseRepresentation
bin11001110010100…
…00000100011100
3120002001221022100
430321100010130
5420340201440
633244445100
75234546115
oct1471200434
9502057270
10216334620
1110112a447
1260549790
1335a86268
1420a3520c
1513ed4230
hexce5011c

216334620 has 72 divisors (see below), whose sum is σ = 657938736. Its totient is φ = 57537792.

The previous prime is 216334583. The next prime is 216334631. The reversal of 216334620 is 26433612.

216334620 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 34 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78384 + ... + 81096.

It is an arithmetic number, because the mean of its divisors is an integer number (9138038).

Almost surely, 2216334620 is an apocalyptic number.

216334620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216334620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328969368).

216334620 is an abundant number, since it is smaller than the sum of its proper divisors (441604116).

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

216334620 is a wasteful number, since it uses less digits than its factorization.

216334620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3166 counting only the distinct ones).

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

The square root of 216334620 is about 14708.3180547607. The cubic root of 216334620 is about 600.3096734764.

The spelling of 216334620 in words is "two hundred sixteen million, three hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443 886 1329 1772 2215 2658 2713 3987 4430 5316 5426 6645 7974 8139 8860 10852 13290 13565 15948 16278 19935 24417 26580 27130 32556 39870 40695 48834 54260 79740 81390 97668 122085 162780 244170 488340 1201859 2403718 3605577 4807436 6009295 7211154 10816731 12018590 14422308 18027885 21633462 24037180 36055770 43266924 54083655 72111540 108167310 216334620