Search a number
-
+
22404110440 = 23531142312697
BaseRepresentation
bin10100110111011000…
…111001100001101000
32010211101021201210011
4110313120321201220
5331340423013230
614143045501304
71422123540145
oct246730714150
963741251704
1022404110440
119557599858
124413111834
1321607a24aa
1411276d53cc
158b1d54e2a
hex537639868

22404110440 has 64 divisors (see below), whose sum is σ = 52076021760. Its totient is φ = 8665781760.

The previous prime is 22404110437. The next prime is 22404110441. The reversal of 22404110440 is 4401140422.

It is not an unprimeable number, because it can be changed into a prime (22404110441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1758172 + ... + 1770868.

It is an arithmetic number, because the mean of its divisors is an integer number (813687840).

Almost surely, 222404110440 is an apocalyptic number.

22404110440 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 22404110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26038010880).

22404110440 is an abundant number, since it is smaller than the sum of its proper divisors (29671911320).

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

22404110440 is a wasteful number, since it uses less digits than its factorization.

22404110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14162 (or 14158 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 22404110440 its reverse (4401140422), we get a palindrome (26805250862).

The spelling of 22404110440 in words is "twenty-two billion, four hundred four million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1423 2846 5692 7115 11384 12697 14230 25394 28460 44113 50788 56920 63485 88226 101576 126970 176452 220565 253940 352904 393607 441130 507880 787214 882260 1574428 1764520 1968035 3148856 3936070 7872140 15744280 18067831 36135662 72271324 90339155 144542648 180678310 361356620 560102761 722713240 1120205522 2240411044 2800513805 4480822088 5601027610 11202055220 22404110440