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22404041440 = 2551188114449
BaseRepresentation
bin10100110111011000…
…101000101011100000
32010211101011020010121
4110313120220223200
5331340413311230
614143044210024
71422123132034
oct246730505340
963741136117
1022404041440
119557551a30
124413099914
132160779c71
1411276b81c4
158b1d3e77a
hex537628ae0

22404041440 has 96 divisors (see below), whose sum is σ = 57810866400. Its totient is φ = 8137113600.

The previous prime is 22404041423. The next prime is 22404041449. The reversal of 22404041440 is 4414040422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22404041449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1543336 + ... + 1557784.

It is an arithmetic number, because the mean of its divisors is an integer number (602196525).

Almost surely, 222404041440 is an apocalyptic number.

22404041440 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 22404041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28905433200).

22404041440 is an abundant number, since it is smaller than the sum of its proper divisors (35406824960).

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

22404041440 is a wasteful number, since it uses less digits than its factorization.

22404041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15356 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 22404041440 its reverse (4414040422), we get a palindrome (26818081862).

The spelling of 22404041440 in words is "twenty-two billion, four hundred four million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 881 1760 1762 3524 4405 7048 8810 9691 14096 14449 17620 19382 28192 28898 35240 38764 48455 57796 70480 72245 77528 96910 115592 140960 144490 155056 158939 193820 231184 288980 310112 317878 387640 462368 577960 635756 775280 794695 1155920 1271512 1550560 1589390 2311840 2543024 3178780 5086048 6357560 12715120 12729569 25430240 25459138 50918276 63647845 101836552 127295690 140025259 203673104 254591380 280050518 407346208 509182760 560101036 700126295 1018365520 1120202072 1400252590 2036731040 2240404144 2800505180 4480808288 5601010360 11202020720 22404041440