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814439220 = 223571939141
BaseRepresentation
bin110000100010110…
…101101100110100
32002202111210120120
4300202311230310
53131444023340
6212452131540
726116422240
oct6042655464
92082453516
10814439220
11388803271
121a8906bb0
13cc96a1ca
147a247420
154b77a4d0
hex308b5b34

814439220 has 48 divisors (see below), whose sum is σ = 2606206848. Its totient is φ = 186157440.

The previous prime is 814439209. The next prime is 814439233. The reversal of 814439220 is 22934418.

It is a super-2 number, since 2×8144392202 = 1326622486148416800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969151 + ... + 969990.

It is an arithmetic number, because the mean of its divisors is an integer number (54295976).

Almost surely, 2814439220 is an apocalyptic number.

It is an amenable number.

814439220 is an abundant number, since it is smaller than the sum of its proper divisors (1791767628).

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

814439220 is a wasteful number, since it uses less digits than its factorization.

814439220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939160 (or 1939158 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 814439220 is about 28538.3815238356. The cubic root of 814439220 is about 933.8695747830.

The spelling of 814439220 in words is "eight hundred fourteen million, four hundred thirty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1939141 3878282 5817423 7756564 9695705 11634846 13573987 19391410 23269692 27147974 29087115 38782820 40721961 54295948 58174230 67869935 81443922 116348460 135739870 162887844 203609805 271479740 407219610 814439220