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470214320 = 24547791583
BaseRepresentation
bin11100000001101…
…110011010110000
31012202210100210012
4130001232122300
51430333324240
6114354154052
714436520142
oct3401563260
91182710705
10470214320
11221472a84
12111582928
1376556834
1446640c92
152b432b65
hex1c06e6b0

470214320 has 80 divisors (see below), whose sum is σ = 1131356160. Its totient is φ = 181638912.

The previous prime is 470214317. The next prime is 470214359. The reversal of 470214320 is 23412074.

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

It is a super-2 number, since 2×4702143202 = 442203013466124800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296249 + ... + 297831.

It is an arithmetic number, because the mean of its divisors is an integer number (14141952).

Almost surely, 2470214320 is an apocalyptic number.

470214320 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 470214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

470214320 is an abundant number, since it is smaller than the sum of its proper divisors (661141840).

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

470214320 is a wasteful number, since it uses less digits than its factorization.

470214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 470214320 is about 21684.4257475267. The cubic root of 470214320 is about 777.6161714730.

Adding to 470214320 its reverse (23412074), we get a palindrome (493626394).

The spelling of 470214320 in words is "four hundred seventy million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 79 80 94 158 188 235 316 376 395 470 632 752 790 940 1264 1580 1583 1880 3160 3166 3713 3760 6320 6332 7426 7915 12664 14852 15830 18565 25328 29704 31660 37130 59408 63320 74260 74401 125057 126640 148520 148802 250114 297040 297604 372005 500228 595208 625285 744010 1000456 1190416 1250570 1488020 2000912 2501140 2976040 5002280 5877679 5952080 10004560 11755358 23510716 29388395 47021432 58776790 94042864 117553580 235107160 470214320