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2231023032 = 2332730714419
BaseRepresentation
bin1000010011111010…
…1011010110111000
312202111001201020200
42010332223112320
514032120214112
61005214322200
7106200245220
oct20476532670
95674051220
102231023032
11a45399697
125231b9360
132972a4194
14172435080
15d0ce8cdc
hex84fab5b8

2231023032 has 96 divisors (see below), whose sum is σ = 6928521600. Its totient is φ = 635314752.

The previous prime is 2231023019. The next prime is 2231023043. The reversal of 2231023032 is 2303201322.

It is a happy number.

It is a super-3 number, since 3×22310230323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2231022996 and 2231023014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147519 + ... + 161937.

It is an arithmetic number, because the mean of its divisors is an integer number (72172100).

Almost surely, 22231023032 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 2231023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464260800).

2231023032 is an abundant number, since it is smaller than the sum of its proper divisors (4697498568).

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

2231023032 is a wasteful number, since it uses less digits than its factorization.

2231023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14745 (or 14738 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2231023032 is about 47233.7065240491. The cubic root of 2231023032 is about 1306.6763114772.

Adding to 2231023032 its reverse (2303201322), we get a palindrome (4534224354).

The spelling of 2231023032 in words is "two billion, two hundred thirty-one million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 307 504 614 921 1228 1842 2149 2456 2763 3684 4298 5526 6447 7368 8596 11052 12894 14419 17192 19341 22104 25788 28838 38682 43257 51576 57676 77364 86514 100933 115352 129771 154728 173028 201866 259542 302799 346056 403732 519084 605598 807464 908397 1038168 1211196 1816794 2422392 3633588 4426633 7267176 8853266 13279899 17706532 26559798 30986431 35413064 39839697 53119596 61972862 79679394 92959293 106239192 123945724 159358788 185918586 247891448 278877879 318717576 371837172 557755758 743674344 1115511516 2231023032