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252221214 = 23717615791
BaseRepresentation
bin11110000100010…
…01011100011110
3122120121011110110
433002021130132
51004032034324
641005550450
76151562550
oct1702113436
9576534413
10252221214
1111a410593
1270575426
134033c72b
14256d74d0
1517222329
hexf08971e

252221214 has 64 divisors (see below), whose sum is σ = 620531712. Its totient is φ = 66700800.

The previous prime is 252221209. The next prime is 252221261. The reversal of 252221214 is 412122252.

252221214 is digitally balanced in base 2, because in such base 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40659 + ... + 46449.

It is an arithmetic number, because the mean of its divisors is an integer number (9695808).

Almost surely, 2252221214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252221214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310265856).

252221214 is an abundant number, since it is smaller than the sum of its proper divisors (368310498).

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

252221214 is a wasteful number, since it uses less digits than its factorization.

252221214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881.

The product of its digits is 640, while the sum is 21.

The square root of 252221214 is about 15881.4739240412. The cubic root of 252221214 is about 631.8207294105.

Adding to 252221214 its reverse (412122252), we get a palindrome (664343466).

The spelling of 252221214 in words is "two hundred fifty-two million, two hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 61 102 119 122 183 238 357 366 427 714 854 1037 1281 2074 2562 3111 5791 6222 7259 11582 14518 17373 21777 34746 40537 43554 81074 98447 121611 196894 243222 295341 353251 590682 689129 706502 1059753 1378258 2067387 2119506 2472757 4134774 4945514 6005267 7418271 12010534 14836542 18015801 36031602 42036869 84073738 126110607 252221214