Search a number
-
+
2269397700 = 22325210332441
BaseRepresentation
bin1000011101000100…
…0100001011000100
312212011021100101200
42013101010023010
514121431211300
61013105022500
7110144363553
oct20721041304
95764240350
102269397700
11a6501a099
12534024a30
132a221bc9b
14177583d9a
15d4379200
hex874442c4

2269397700 has 108 divisors (see below), whose sum is σ = 7123103988. Its totient is φ = 604339200.

The previous prime is 2269397681. The next prime is 2269397707. The reversal of 2269397700 is 77939622.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13527684 + 2255870016 = 3678^2 + 47496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2269397707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 928480 + ... + 930920.

Almost surely, 22269397700 is an apocalyptic number.

2269397700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269397700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561551994).

2269397700 is an abundant number, since it is smaller than the sum of its proper divisors (4853706288).

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

2269397700 is a wasteful number, since it uses less digits than its factorization.

2269397700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 2269397700 is about 47638.1958096652. The cubic root of 2269397700 is about 1314.1255830988.

The spelling of 2269397700 in words is "two billion, two hundred sixty-nine million, three hundred ninety-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1033 2066 2441 3099 4132 4882 5165 6198 7323 9297 9764 10330 12205 12396 14646 15495 18594 20660 21969 24410 25825 29292 30990 36615 37188 43938 46485 48820 51650 61025 61980 73230 77475 87876 92970 103300 109845 122050 146460 154950 183075 185940 219690 232425 244100 309900 366150 439380 464850 549225 732300 929700 1098450 2196900 2521553 5043106 7564659 10086212 12607765 15129318 22693977 25215530 30258636 37823295 45387954 50431060 63038825 75646590 90775908 113469885 126077650 151293180 189116475 226939770 252155300 378232950 453879540 567349425 756465900 1134698850 2269397700