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22040132240 = 2457192971429
BaseRepresentation
bin10100100001101100…
…011011101010010000
32002220000101201120002
4110201230123222100
5330114233212430
614043004305132
71410114014210
oct244154335220
962800351502
1022040132240
119390097625
1243312421a8
132103263a89
1410d122a240
1588ee09845
hex521b1ba90

22040132240 has 160 divisors (see below), whose sum is σ = 63772704000. Its totient is φ = 6911944704.

The previous prime is 22040132207. The next prime is 22040132249. The reversal of 22040132240 is 4223104022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22040132249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272846 + ... + 344274.

It is an arithmetic number, because the mean of its divisors is an integer number (398579400).

Almost surely, 222040132240 is an apocalyptic number.

22040132240 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 22040132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31886352000).

22040132240 is an abundant number, since it is smaller than the sum of its proper divisors (41732571760).

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

22040132240 is a wasteful number, since it uses less digits than its factorization.

22040132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71497 (or 71491 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22040132240 its reverse (4223104022), we get a palindrome (26263236262).

The spelling of 22040132240 in words is "twenty-two billion, forty million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 29 35 38 40 56 58 70 76 80 95 112 116 133 140 145 152 190 203 232 266 280 290 304 380 406 464 532 551 560 580 665 760 812 1015 1064 1102 1160 1330 1520 1624 2030 2128 2204 2320 2660 2755 3248 3857 4060 4408 5320 5510 7714 8120 8816 10640 11020 15428 16240 19285 22040 30856 38570 44080 61712 71429 77140 142858 154280 285716 308560 357145 500003 571432 714290 1000006 1142864 1357151 1428580 2000012 2071441 2500015 2714302 2857160 4000024 4142882 5000030 5428604 5714320 6785755 8000048 8285764 9500057 10000060 10357205 10857208 13571510 14500087 16571528 19000114 20000120 20714410 21714416 27143020 29000174 33143056 38000228 39357379 40000240 41428820 47500285 54286040 58000348 72500435 76000456 78714758 82857640 95000570 108572080 116000696 145000870 152000912 157429516 165715280 190001140 196786895 232001392 275501653 290001740 314859032 380002280 393573790 551003306 580003480 629718064 760004560 787147580 1102006612 1160006960 1377508265 1574295160 2204013224 2755016530 3148590320 4408026448 5510033060 11020066120 22040132240