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214023306 = 23729199883
BaseRepresentation
bin11001100000110…
…11110010001010
3112220201111210010
430300123302022
5414242221211
633123132350
75206111440
oct1460336212
9486644703
10214023306
11aa8a0972
125b8140b6
1335457213
14205d2b90
1513bc94a6
hexcc1bc8a

214023306 has 64 divisors (see below), whose sum is σ = 509184000. Its totient is φ = 58677696.

The previous prime is 214023283. The next prime is 214023307. The reversal of 214023306 is 603320412.

It is a happy number.

It is a super-2 number, since 2×2140233062 = 91611951022339272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (214023307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241941 + ... + 242823.

It is an arithmetic number, because the mean of its divisors is an integer number (7956000).

Almost surely, 2214023306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214023306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254592000).

214023306 is an abundant number, since it is smaller than the sum of its proper divisors (295160694).

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

214023306 is a wasteful number, since it uses less digits than its factorization.

214023306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 214023306 is about 14629.5353993215. The cubic root of 214023306 is about 598.1641160575.

Adding to 214023306 its reverse (603320412), we get a palindrome (817343718).

The spelling of 214023306 in words is "two hundred fourteen million, twenty-three thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 199 203 398 406 597 609 883 1194 1218 1393 1766 2649 2786 4179 5298 5771 6181 8358 11542 12362 17313 18543 25607 34626 37086 40397 51214 76821 80794 121191 153642 175717 179249 242382 351434 358498 527151 537747 1054302 1075494 1230019 2460038 3690057 5095793 7380114 10191586 15287379 30574758 35670551 71341102 107011653 214023306