Search a number
-
+
226246965 = 35721719953
BaseRepresentation
bin11010111110001…
…00000100110101
3120202201112111020
431133010010311
5430404400330
634241131353
75415032100
oct1537040465
9522645436
10226246965
1110678a76a
1263929b59
1337b46c59
1422095737
1514ce1210
hexd7c4135

226246965 has 96 divisors (see below), whose sum is σ = 469825920. Its totient is φ = 92123136.

The previous prime is 226246963. The next prime is 226246973. The reversal of 226246965 is 569642622.

226246965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226246965 - 21 = 226246963 is a prime.

It is a super-2 number, since 2×2262469652 = 102375378343422450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226246963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236929 + ... + 237881.

It is an arithmetic number, because the mean of its divisors is an integer number (4894020).

Almost surely, 2226246965 is an apocalyptic number.

It is an amenable number.

226246965 is an abundant number, since it is smaller than the sum of its proper divisors (243578955).

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

226246965 is a wasteful number, since it uses less digits than its factorization.

226246965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1004 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 226246965 is about 15041.5080693393. The cubic root of 226246965 is about 609.3417292026.

The spelling of 226246965 in words is "two hundred twenty-six million, two hundred forty-six thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 15 17 19 21 35 49 51 57 85 95 105 119 133 147 245 255 285 323 357 399 595 665 735 833 931 953 969 1615 1785 1995 2261 2499 2793 2859 4165 4655 4765 4845 6671 6783 11305 12495 13965 14295 15827 16201 18107 20013 33355 33915 46697 47481 48603 54321 79135 81005 90535 100065 113407 126749 140091 233485 237405 243015 271605 307819 340221 380247 567035 633745 700455 793849 887243 923457 1539095 1701105 1901235 2154733 2381547 2661729 3969245 4436215 4617285 6464199 10773665 11907735 13308645 15083131 32320995 45249393 75415655 226246965