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2231313036 = 2231773269557
BaseRepresentation
bin1000010011111111…
…0010001010001100
312202111121110001120
42010333302022030
514032204004121
61005224440540
7106202563551
oct20477621214
95674543046
102231313036
11a45577567
12523319150
13297376194
141724aca28
15d0d54bc6
hex84ff228c

2231313036 has 96 divisors (see below), whose sum is σ = 5619015360. Its totient is φ = 686628864.

The previous prime is 2231313023. The next prime is 2231313103. The reversal of 2231313036 is 6303131322.

It is a happy number.

It is a super-3 number, since 3×22313130363 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231312997 and 2231313015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4005670 + ... + 4006226.

It is an arithmetic number, because the mean of its divisors is an integer number (58531410).

Almost surely, 22231313036 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 2231313036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809507680).

2231313036 is an abundant number, since it is smaller than the sum of its proper divisors (3387702324).

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

2231313036 is a wasteful number, since it uses less digits than its factorization.

2231313036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 2231313036 is about 47236.7763082961. The cubic root of 2231313036 is about 1306.7329260039.

Adding to 2231313036 its reverse (6303131322), we get a palindrome (8534444358).

The spelling of 2231313036 in words is "two billion, two hundred thirty-one million, three hundred thirteen thousand, thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 269 292 438 538 557 807 876 1076 1114 1241 1614 1671 2228 2482 3228 3342 3723 4573 4964 6684 7446 9146 9469 13719 14892 18292 18938 19637 27438 28407 37876 39274 40661 54876 56814 58911 78548 81322 113628 117822 121983 149833 162644 235644 243966 299666 333829 449499 487932 599332 667658 691237 898998 1001487 1335316 1382474 1797996 2002974 2073711 2547161 2764948 4005948 4147422 5094322 7641483 8294844 10188644 10937809 15282966 21875618 30565932 32813427 43751236 65626854 131253708 185942753 371885506 557828259 743771012 1115656518 2231313036