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214206740 = 225113892503
BaseRepresentation
bin11001100010010…
…00100100010100
3112221001211101222
430301020210110
5414314103430
633131105512
75210504306
oct1461104424
9487054358
10214206740
11aaa06770
125b8a2298
13354bc867
142063d976
1513c139e5
hexcc48914

214206740 has 48 divisors (see below), whose sum is σ = 492186240. Its totient is φ = 77662080.

The previous prime is 214206719. The next prime is 214206743. The reversal of 214206740 is 47602412.

It is a super-2 number, since 2×2142067402 = 91769054922855200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214206743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84329 + ... + 86831.

It is an arithmetic number, because the mean of its divisors is an integer number (10253880).

Almost surely, 2214206740 is an apocalyptic number.

214206740 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 214206740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246093120).

214206740 is an abundant number, since it is smaller than the sum of its proper divisors (277979500).

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

214206740 is a wasteful number, since it uses less digits than its factorization.

214206740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 214206740 is about 14635.8033602532. The cubic root of 214206740 is about 598.3349577387.

The spelling of 214206740 in words is "two hundred fourteen million, two hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 389 778 1556 1945 2503 3890 4279 5006 7780 8558 10012 12515 17116 21395 25030 27533 42790 50060 55066 85580 110132 137665 275330 550660 973667 1947334 3894668 4868335 9736670 10710337 19473340 21420674 42841348 53551685 107103370 214206740