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22241220240 = 2435436473331
BaseRepresentation
bin10100101101101011…
…100001011010010000
32010102000210001102210
4110231223201122100
5331022223021430
614114550312120
71415105152461
oct245553413220
963360701383
1022241220240
119483652a58
124388658640
132135b0c365
14110dc12d68
158a28cb2b0
hex52dae1690

22241220240 has 160 divisors (see below), whose sum is σ = 70681476096. Its totient is φ = 5782371840.

The previous prime is 22241220167. The next prime is 22241220251. The reversal of 22241220240 is 4202214222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6675375 + ... + 6678705.

Almost surely, 222241220240 is an apocalyptic number.

22241220240 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 22241220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340738048).

22241220240 is an abundant number, since it is smaller than the sum of its proper divisors (48440255856).

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

22241220240 is a wasteful number, since it uses less digits than its factorization.

22241220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 22241220240 its reverse (4202214222), we get a palindrome (26443434462).

The spelling of 22241220240 in words is "twenty-two billion, two hundred forty-one million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 647 688 860 1032 1290 1294 1720 1941 2064 2580 2588 3235 3331 3440 3882 5160 5176 6470 6662 7764 9705 9993 10320 10352 12940 13324 15528 16655 19410 19986 25880 26648 27821 31056 33310 38820 39972 49965 51760 53296 55642 66620 77640 79944 83463 99930 111284 133240 139105 143233 155280 159888 166926 199860 222568 266480 278210 286466 333852 399720 417315 429699 445136 556420 572932 667704 716165 799440 834630 859398 1112840 1145864 1335408 1432330 1669260 1718796 2148495 2155157 2225680 2291728 2864660 3338520 3437592 4296990 4310314 5729320 6465471 6677040 6875184 8593980 8620628 10775785 11458640 12930942 17187960 17241256 21551570 25861884 32327355 34375920 34482512 43103140 51723768 64654710 86206280 92671751 103447536 129309420 172412560 185343502 258618840 278015253 370687004 463358755 517237680 556030506 741374008 926717510 1112061012 1390076265 1482748016 1853435020 2224122024 2780152530 3706870040 4448244048 5560305060 7413740080 11120610120 22241220240