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214848216 = 233211271273
BaseRepresentation
bin11001100111001…
…01001011011000
3112222021102100100
430303211023120
5420000120331
633152535400
75216115432
oct1463451330
9488242310
10214848216
11100304710
125bb51560
133568582b
1420769652
1513cddae6
hexcce52d8

214848216 has 48 divisors (see below), whose sum is σ = 634781160. Its totient is φ = 65105280.

The previous prime is 214848209. The next prime is 214848229. The reversal of 214848216 is 612848412.

214848216 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134845 + ... + 136428.

Almost surely, 2214848216 is an apocalyptic number.

It is an amenable number.

214848216 is an abundant number, since it is smaller than the sum of its proper divisors (419932944).

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

214848216 is a wasteful number, since it uses less digits than its factorization.

214848216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271296 (or 271289 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 214848216 is about 14657.7015933604. The cubic root of 214848216 is about 598.9316321125.

The spelling of 214848216 in words is "two hundred fourteen million, eight hundred forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 271273 542546 813819 1085092 1627638 2170184 2441457 2984003 3255276 4882914 5968006 6510552 8952009 9765828 11936012 17904018 19531656 23872024 26856027 35808036 53712054 71616072 107424108 214848216