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2225265641214 = 2371123831143269
BaseRepresentation
bin100000011000011100001…
…010110000011011111110
321212201210120220002111220
4200120130022300123332
5242424321001004324
64422134541254210
7316525104601440
oct40303412603376
97781716802456
102225265641214
11788803495200
122bb330b64366
13131ac31478b5
14799bc306490
153cd3e5e7b79
hex2061c2b06fe

2225265641214 has 96 divisors (see below), whose sum is σ = 5605352202240. Its totient is φ = 576481456320.

The previous prime is 2225265641191. The next prime is 2225265641239. The reversal of 2225265641214 is 4121465625222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374772 + ... + 2518040.

It is an arithmetic number, because the mean of its divisors is an integer number (58389085440).

Almost surely, 22225265641214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225265641214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802676101120).

2225265641214 is an abundant number, since it is smaller than the sum of its proper divisors (3380086561026).

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

2225265641214 is a wasteful number, since it uses less digits than its factorization.

2225265641214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143686 (or 1143675 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 2225265641214 in words is "two trillion, two hundred twenty-five billion, two hundred sixty-five million, six hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 383 462 726 766 847 1149 1694 2298 2541 2681 4213 5082 5362 8043 8426 12639 16086 25278 29491 46343 58982 88473 92686 139029 176946 278058 324401 648802 973203 1143269 1946406 2286538 3429807 6859614 8002883 12575959 16005766 24008649 25151918 37727877 48017298 75455754 88031713 138335549 176063426 264095139 276671098 415006647 437872027 528190278 830013294 875744054 968348843 1313616081 1936697686 2627232162 2905046529 3065104189 4816592297 5810093058 6130208378 9195312567 9633184594 14449776891 18390625134 28899553782 33716146079 52982515267 67432292158 101148438237 105965030534 158947545801 202296876474 317895091602 370877606869 741755213738 1112632820607 2225265641214