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84314220 = 223517131631
BaseRepresentation
bin1010000011010…
…00100001101100
312212122121100220
411001220201230
5133041023340
612211051340
72042442024
oct501504154
9185577326
1084314220
1143658581
12242a0b50
1314610c93
14b2aaa84
157606ed0
hex506886c

84314220 has 96 divisors (see below), whose sum is σ = 252274176. Its totient is φ = 20966400.

The previous prime is 84314201. The next prime is 84314233. The reversal of 84314220 is 2241348.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133305 + ... + 133935.

It is an arithmetic number, because the mean of its divisors is an integer number (2627856).

Almost surely, 284314220 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 84314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126137088).

84314220 is an abundant number, since it is smaller than the sum of its proper divisors (167959956).

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

84314220 is a wasteful number, since it uses less digits than its factorization.

84314220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 84314220 is about 9182.2774952623. The cubic root of 84314220 is about 438.4973188122.

Adding to 84314220 its reverse (2241348), we get a palindrome (86555568).

The spelling of 84314220 in words is "eighty-four million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 131 170 204 255 262 340 393 510 524 631 655 786 1020 1262 1310 1572 1893 1965 2227 2524 2620 3155 3786 3930 4454 6310 6681 7572 7860 8908 9465 10727 11135 12620 13362 18930 21454 22270 26724 32181 33405 37860 42908 44540 53635 64362 66810 82661 107270 128724 133620 160905 165322 214540 247983 321810 330644 413305 495966 643620 826610 991932 1239915 1405237 1653220 2479830 2810474 4215711 4959660 5620948 7026185 8431422 14052370 16862844 21078555 28104740 42157110 84314220