Search a number
-
+
226731414 = 237132171879
BaseRepresentation
bin11011000001110…
…10010110010110
3120210122011000210
431200322112112
5431020401124
634255350250
75422120350
oct1540722626
9523564023
10226731414
11106a90738
1263b22386
1337c86600
14221800d0
1514d89a29
hexd83a596

226731414 has 96 divisors (see below), whose sum is σ = 594501120. Its totient is φ = 56249856.

The previous prime is 226731409. The next prime is 226731419. The reversal of 226731414 is 414137622.

226731414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226731409) and next prime (226731419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226731419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119727 + ... + 121605.

It is an arithmetic number, because the mean of its divisors is an integer number (6192720).

Almost surely, 2226731414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226731414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297250560).

226731414 is an abundant number, since it is smaller than the sum of its proper divisors (367769706).

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

226731414 is a wasteful number, since it uses less digits than its factorization.

226731414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1921 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 226731414 is about 15057.6031957281. The cubic root of 226731414 is about 609.7763347338.

The spelling of 226731414 in words is "two hundred twenty-six million, seven hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 169 182 221 238 273 338 357 442 507 546 663 714 1014 1183 1326 1547 1879 2366 2873 3094 3549 3758 4641 5637 5746 7098 8619 9282 11274 13153 17238 20111 24427 26306 31943 39459 40222 48854 60333 63886 73281 78918 95829 120666 146562 170989 191658 223601 317551 341978 415259 447202 512967 635102 670803 830518 952653 1025934 1245777 1341606 1905306 2222857 2491554 2906813 4445714 5398367 5813626 6668571 8720439 10796734 13337142 16195101 17440878 32390202 37788569 75577138 113365707 226731414