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214741716 = 22372615987
BaseRepresentation
bin11001100110010…
…11001011010100
3112222002000020220
430303023023110
5414433213331
633150354340
75215163100
oct1463131324
9488060226
10214741716
111002416a2
125babb9b0
1335649207
142073c900
1513cbc296
hexcccb2d4

214741716 has 72 divisors (see below), whose sum is σ = 592524576. Its totient is φ = 60338880.

The previous prime is 214741693. The next prime is 214741717. The reversal of 214741716 is 617147412.

214741716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147417162 = 92228009181249312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214741717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32875 + ... + 38861.

It is an arithmetic number, because the mean of its divisors is an integer number (8229508).

Almost surely, 2214741716 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 214741716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296262288).

214741716 is an abundant number, since it is smaller than the sum of its proper divisors (377782860).

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

214741716 is a wasteful number, since it uses less digits than its factorization.

214741716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6060 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 214741716 is about 14654.0682405945. The cubic root of 214741716 is about 598.8326525283.

The spelling of 214741716 in words is "two hundred fourteen million, seven hundred forty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1281 1708 2562 2989 5124 5978 5987 8967 11956 11974 17934 17961 23948 35868 35922 41909 71844 83818 125727 167636 251454 293363 365207 502908 586726 730414 880089 1095621 1173452 1460828 1760178 2191242 2556449 3520356 4382484 5112898 7669347 10225796 15338694 17895143 30677388 35790286 53685429 71580572 107370858 214741716