Search a number
-
+
9138226900 = 22521157114549
BaseRepresentation
bin10001000001010111…
…00100011011010100
3212120212012000200011
420200223210123110
5122203341230100
64110435530004
7442311434635
oct104053443324
925525160604
109138226900
11396a322140
121930459904
13b282b956a
1462991788c
153873d2bba
hex220ae46d4

9138226900 has 72 divisors (see below), whose sum is σ = 21672050400. Its totient is φ = 3316944000.

The previous prime is 9138226883. The next prime is 9138226907. The reversal of 9138226900 is 96228319.

It is a happy number.

It is a super-2 number, since 2×91382269002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9138226907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620826 + ... + 635374.

It is an arithmetic number, because the mean of its divisors is an integer number (301000700).

Almost surely, 29138226900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9138226900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10836025200).

9138226900 is an abundant number, since it is smaller than the sum of its proper divisors (12533823500).

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

9138226900 is a wasteful number, since it uses less digits than its factorization.

9138226900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15145 (or 15138 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 9138226900 is about 95594.0735610739. The cubic root of 9138226900 is about 2090.6787856494.

The spelling of 9138226900 in words is "nine billion, one hundred thirty-eight million, two hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 571 1100 1142 2284 2855 5710 6281 11420 12562 14275 14549 25124 28550 29098 31405 57100 58196 62810 72745 125620 145490 157025 160039 290980 314050 320078 363725 628100 640156 727450 800195 1454900 1600390 3200780 4000975 8001950 8307479 16003900 16614958 33229916 41537395 83074790 91382269 166149580 182764538 207686975 365529076 415373950 456911345 830747900 913822690 1827645380 2284556725 4569113450 9138226900