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470120200 = 235211972203
BaseRepresentation
bin11100000001010…
…111011100001000
31012202121120200021
4130001113130020
51430322321300
6114352150224
714435645554
oct3401273410
91182546607
10470120200
112214092a0
12111538374
1376522a44
1446618864
152b414d1a
hex1c057708

470120200 has 96 divisors (see below), whose sum is σ = 1205235360. Its totient is φ = 169113600.

The previous prime is 470120191. The next prime is 470120221. The reversal of 470120200 is 2021074.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212299 + ... + 214501.

It is an arithmetic number, because the mean of its divisors is an integer number (12554535).

Almost surely, 2470120200 is an apocalyptic number.

470120200 is a gapful number since it is divisible by the number (40) 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 470120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602617680).

470120200 is an abundant number, since it is smaller than the sum of its proper divisors (735115160).

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

470120200 is a wasteful number, since it uses less digits than its factorization.

470120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 470120200 is about 21682.2554177373. The cubic root of 470120200 is about 777.5642844116.

Adding to 470120200 its reverse (2021074), we get a palindrome (472141274).

The spelling of 470120200 in words is "four hundred seventy million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 194 200 220 275 388 440 485 550 776 970 1067 1100 1940 2134 2200 2203 2425 3880 4268 4406 4850 5335 8536 8812 9700 10670 11015 17624 19400 21340 22030 24233 26675 42680 44060 48466 53350 55075 88120 96932 106700 110150 121165 193864 213400 213691 220300 242330 427382 440600 484660 605825 854764 969320 1068455 1211650 1709528 2136910 2350601 2423300 4273820 4701202 4846600 5342275 8547640 9402404 10684550 11753005 18804808 21369100 23506010 42738200 47012020 58765025 94024040 117530050 235060100 470120200