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22204112240 = 2454761131739
BaseRepresentation
bin10100101011011101…
…111101110101110000
32010022102221202211102
4110223131331311300
5330433223042430
614111143103532
71414144561052
oct245335756560
963272852742
1022204112240
119464708192
124378141ba8
13212b218c6b
141108d138d2
1589e4eb345
hex52b77dd70

22204112240 has 160 divisors (see below), whose sum is σ = 54069396480. Its totient is φ = 8473420800.

The previous prime is 22204112239. The next prime is 22204112243. The reversal of 22204112240 is 4221140222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22204112243) 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, 30045791 + ... + 30046529.

It is an arithmetic number, because the mean of its divisors is an integer number (337933728).

Almost surely, 222204112240 is an apocalyptic number.

22204112240 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 22204112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27034698240).

22204112240 is an abundant number, since it is smaller than the sum of its proper divisors (31865284240).

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

22204112240 is a wasteful number, since it uses less digits than its factorization.

22204112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22204112240 its reverse (4221140222), we get a palindrome (26425252462).

The spelling of 22204112240 in words is "twenty-two billion, two hundred four million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 61 80 94 122 131 188 235 244 262 305 376 470 488 524 610 655 739 752 940 976 1048 1220 1310 1478 1880 2096 2440 2620 2867 2956 3695 3760 4880 5240 5734 5912 6157 7390 7991 10480 11468 11824 12314 14335 14780 15982 22936 24628 28670 29560 30785 31964 34733 39955 45079 45872 49256 57340 59120 61570 63928 69466 79910 90158 96809 98512 114680 123140 127856 138932 159820 173665 180316 193618 225395 229360 246280 277864 319640 347330 360632 375577 387236 450790 484045 492560 555728 639280 694660 721264 751154 774472 901580 968090 1389320 1502308 1548944 1803160 1877885 1936180 2118713 2778640 3004616 3606320 3755770 3872360 4237426 4550023 5905349 6009232 7511540 7744720 8474852 9100046 10593565 11810698 15023080 16949704 18200092 21187130 22750115 23621396 29526745 30046160 33899408 36400184 42374260 45500230 47242792 59053490 72800368 84748520 91000460 94485584 118106980 169497040 182000920 236213960 277551403 364001840 472427920 555102806 1110205612 1387757015 2220411224 2775514030 4440822448 5551028060 11102056120 22204112240