Search a number
-
+
22403132032 = 27172659919
BaseRepresentation
bin10100110111010101…
…001010101010000000
32010211022110000122211
4110313111022222000
5331340200211112
614143012511504
71422112323511
oct246725125200
963738400584
1022403132032
119556a90756
12441291b594
13216051c058
14112751ca08
158b1c100a7
hex53754aa80

22403132032 has 96 divisors (see below), whose sum is σ = 47534652000. Its totient is φ = 10515197952.

The previous prime is 22403132023. The next prime is 22403132039. The reversal of 22403132032 is 23023130422.

It is a junction number, because it is equal to n+sod(n) for n = 22403131994 and 22403132012.

It is not an unprimeable number, because it can be changed into a prime (22403132039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24377269 + ... + 24378187.

It is an arithmetic number, because the mean of its divisors is an integer number (495152625).

Almost surely, 222403132032 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 22403132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23767326000).

22403132032 is an abundant number, since it is smaller than the sum of its proper divisors (25131519968).

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

22403132032 is an equidigital number, since it uses as much as digits as its factorization.

22403132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22403132032 its reverse (23023130422), we get a palindrome (45426262454).

The spelling of 22403132032 in words is "twenty-two billion, four hundred three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 659 919 1088 1156 1318 1838 2176 2312 2636 3676 4624 5272 7352 9248 10544 11203 14704 15623 18496 21088 22406 29408 31246 36992 42176 44812 58816 62492 84352 89624 117632 124984 179248 190451 249968 265591 358496 380902 499936 531182 605621 716992 761804 999872 1062364 1211242 1433984 1523608 1999744 2124728 2422484 3047216 4249456 4844968 6094432 8498912 9689936 10295557 12188864 16997824 19379872 20591114 24377728 33995648 38759744 41182228 77519488 82364456 164728912 175024469 329457824 350048938 658915648 700097876 1317831296 1400195752 2800391504 5600783008 11201566016 22403132032