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214071740 = 225311931789
BaseRepresentation
bin11001100001001…
…11100110111100
3112220210222012222
430300213212330
5414300243430
633124144512
75206402601
oct1460474674
9486728188
10214071740
11aa9242a3
125b838138
133547328c
14206066a8
1513bd89e5
hexcc279bc

214071740 has 48 divisors (see below), whose sum is σ = 466717440. Its totient is φ = 82391040.

The previous prime is 214071731. The next prime is 214071763. The reversal of 214071740 is 47170412.

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, 118766 + ... + 120554.

It is an arithmetic number, because the mean of its divisors is an integer number (9723280).

Almost surely, 2214071740 is an apocalyptic number.

214071740 is a gapful number since it is divisible by the number (20) 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 214071740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233358720).

214071740 is an abundant number, since it is smaller than the sum of its proper divisors (252645700).

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

214071740 is a wasteful number, since it uses less digits than its factorization.

214071740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 214071740 is about 14631.1906555823. The cubic root of 214071740 is about 598.2092346572.

The spelling of 214071740 in words is "two hundred fourteen million, seventy-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 193 310 386 620 772 965 1789 1930 3578 3860 5983 7156 8945 11966 17890 23932 29915 35780 55459 59830 110918 119660 221836 277295 345277 554590 690554 1109180 1381108 1726385 3452770 6905540 10703587 21407174 42814348 53517935 107035870 214071740