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216221424 = 24312833511
BaseRepresentation
bin11001110001101…
…00011011110000
3120001212012000220
430320310123300
5420323041144
633242213040
75233565106
oct1470643360
9501765026
10216221424
111010623a1
12604b4180
1335a46893
1420a05c76
1513eb0919
hexce346f0

216221424 has 40 divisors (see below), whose sum is σ = 559166592. Its totient is φ = 71997120.

The previous prime is 216221417. The next prime is 216221429. The reversal of 216221424 is 424122612.

It is a happy number.

216221424 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 216221394 and 216221403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216221429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59829 + ... + 63339.

Almost surely, 2216221424 is an apocalyptic number.

216221424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216221424 is an abundant number, since it is smaller than the sum of its proper divisors (342945168).

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

216221424 is a wasteful number, since it uses less digits than its factorization.

216221424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4799 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 216221424 is about 14704.4695246037. The cubic root of 216221424 is about 600.2049522052.

The spelling of 216221424 in words is "two hundred sixteen million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1283 2566 3511 3849 5132 7022 7698 10264 10533 14044 15396 20528 21066 28088 30792 42132 56176 61584 84264 168528 4504613 9009226 13513839 18018452 27027678 36036904 54055356 72073808 108110712 216221424