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216514320 = 24351182013
BaseRepresentation
bin11001110011110…
…11111100010000
3120002102001210220
430321323330100
5420411424240
633252353040
75236225041
oct1471737420
9502361726
10216514320
11101242460
1260615780
1335b19ca9
1420a808c8
151401c5d0
hexce7bf10

216514320 has 80 divisors (see below), whose sum is σ = 732220992. Its totient is φ = 52487680.

The previous prime is 216514313. The next prime is 216514321. The reversal of 216514320 is 23415612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (216514321) 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, 38367 + ... + 43646.

Almost surely, 2216514320 is an apocalyptic number.

216514320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216514320 is an abundant number, since it is smaller than the sum of its proper divisors (515706672).

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

216514320 is a wasteful number, since it uses less digits than its factorization.

216514320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82040 (or 82034 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 216514320 is about 14714.4255749248. The cubic root of 216514320 is about 600.4758447421.

Adding to 216514320 its reverse (23415612), we get a palindrome (239929932).

The spelling of 216514320 in words is "two hundred sixteen million, five hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 82013 164026 246039 328052 410065 492078 656104 820130 902143 984156 1230195 1312208 1640260 1804286 1968312 2460390 2706429 3280520 3608572 3936624 4510715 4920780 5412858 6561040 7217144 9021430 9841560 10825716 13532145 14434288 18042860 19683120 21651432 27064290 36085720 43302864 54128580 72171440 108257160 216514320