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216326448 = 243213731583
BaseRepresentation
bin11001110010011…
…10000100110000
3120002001112002200
430321032010300
5420334421243
633244343200
75234513232
oct1471160460
9502045080
10216326448
11101124298
1260544b00
1335a82620
1420a32252
1513ed1ad3
hexce4e130

216326448 has 120 divisors (see below), whose sum is σ = 661332672. Its totient is φ = 65608704.

The previous prime is 216326447. The next prime is 216326449. The reversal of 216326448 is 844623612.

216326448 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 2 + 644 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (216326447) and next prime (216326449).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 not an unprimeable number, because it can be changed into a prime (216326441) 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, 135865 + ... + 137447.

Almost surely, 2216326448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216326448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330666336).

216326448 is an abundant number, since it is smaller than the sum of its proper divisors (445006224).

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

216326448 is a wasteful number, since it uses less digits than its factorization.

216326448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1674 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 216326448 is about 14708.0402501489. The cubic root of 216326448 is about 600.3021145192.

The spelling of 216326448 in words is "two hundred sixteen million, three hundred twenty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 208 219 234 292 312 438 468 584 624 657 876 936 949 1168 1314 1583 1752 1872 1898 2628 2847 3166 3504 3796 4749 5256 5694 6332 7592 8541 9498 10512 11388 12664 14247 15184 17082 18996 20579 22776 25328 28494 34164 37992 41158 45552 56988 61737 68328 75984 82316 113976 115559 123474 136656 164632 185211 227952 231118 246948 329264 346677 370422 462236 493896 693354 740844 924472 987792 1040031 1386708 1481688 1502267 1848944 2080062 2773416 2963376 3004534 4160124 4506801 5546832 6009068 8320248 9013602 12018136 13520403 16640496 18027204 24036272 27040806 36054408 54081612 72108816 108163224 216326448