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214220106 = 23331731753
BaseRepresentation
bin11001100010010…
…11110101001010
3112221002111202000
430301023311022
5414320020411
633131251430
75210561262
oct1461136512
9487074660
10214220106
11aaa15811
125b8a9b76
13354c5979
14206447a2
1513c17956
hexcc4bd4a

214220106 has 64 divisors (see below), whose sum is σ = 498416640. Its totient is φ = 68117760.

The previous prime is 214220101. The next prime is 214220107. The reversal of 214220106 is 601022412.

214220106 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (214220101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121326 + ... + 123078.

It is an arithmetic number, because the mean of its divisors is an integer number (7787760).

Almost surely, 2214220106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214220106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249208320).

214220106 is an abundant number, since it is smaller than the sum of its proper divisors (284196534).

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

214220106 is a wasteful number, since it uses less digits than its factorization.

214220106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214220106 is about 14636.2599730942. The cubic root of 214220106 is about 598.3474023809.

Adding to 214220106 its reverse (601022412), we get a palindrome (815242518).

The spelling of 214220106 in words is "two hundred fourteen million, two hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 31 54 62 73 93 146 186 219 279 438 558 657 837 1314 1674 1753 1971 2263 3506 3942 4526 5259 6789 10518 13578 15777 20367 31554 40734 47331 54343 61101 94662 108686 122202 127969 163029 255938 326058 383907 489087 767814 978174 1151721 1467261 2303442 2934522 3455163 3967039 6910326 7934078 11901117 23802234 35703351 71406702 107110053 214220106