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214196820 = 22353569947
BaseRepresentation
bin11001100010001…
…10001001010100
3112221001022210120
430301012021110
5414313244240
633130551540
75210433345
oct1461061124
9487038716
10214196820
11aa9aa272
125b8985b0
13354b81a6
142063a0cc
1513c10ad0
hexcc46254

214196820 has 24 divisors (see below), whose sum is σ = 599751264. Its totient is φ = 57119136.

The previous prime is 214196809. The next prime is 214196831. The reversal of 214196820 is 28691412.

It is an interprime number because it is at equal distance from previous prime (214196809) and next prime (214196831).

It is a super-2 number, since 2×2141968202 = 91760555396224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1784914 + ... + 1785033.

It is an arithmetic number, because the mean of its divisors is an integer number (24989636).

Almost surely, 2214196820 is an apocalyptic number.

214196820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214196820 is an abundant number, since it is smaller than the sum of its proper divisors (385554444).

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

214196820 is a wasteful number, since it uses less digits than its factorization.

214196820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569959 (or 3569957 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 214196820 is about 14635.4644613692. The cubic root of 214196820 is about 598.3257212189.

The spelling of 214196820 in words is "two hundred fourteen million, one hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3569947 7139894 10709841 14279788 17849735 21419682 35699470 42839364 53549205 71398940 107098410 214196820