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22241301442240 = 2651131314695269
BaseRepresentation
bin1010000111010011101001…
…10111110010111011000000
32220202020200112112200202011
411003221310313302323000
510403400141132122430
6115145302434302304
74453611116653006
oct503516467627300
986666615480664
1022241301442240
1170a553491a961
1225b261aa27994
13c5446573b09a
1456c6b0174a76
1528883219722a
hex143a74df2ec0

22241301442240 has 112 divisors (see below), whose sum is σ = 53838670295520. Its totient is φ = 8750477066240.

The previous prime is 22241301442223. The next prime is 22241301442259. The reversal of 22241301442240 is 4224410314222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2389326 + ... + 7084594.

Almost surely, 222241301442240 is an apocalyptic number.

22241301442240 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 22241301442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26919335147760).

22241301442240 is an abundant number, since it is smaller than the sum of its proper divisors (31597368853280).

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

22241301442240 is a wasteful number, since it uses less digits than its factorization.

22241301442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695530 (or 4695520 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 22241301442240 its reverse (4224410314222), we get a palindrome (26465711756462).

The spelling of 22241301442240 in words is "twenty-two trillion, two hundred forty-one billion, three hundred one million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 131 160 226 262 320 452 524 565 655 904 1048 1130 1310 1808 2096 2260 2620 3616 4192 4520 5240 7232 8384 9040 10480 14803 18080 20960 29606 36160 41920 59212 74015 118424 148030 236848 296060 473696 592120 947392 1184240 2368480 4695269 4736960 9390538 18781076 23476345 37562152 46952690 75124304 93905380 150248608 187810760 300497216 375621520 530565397 615080239 751243040 1061130794 1230160478 1502486080 2122261588 2460320956 2652826985 3075401195 4244523176 4920641912 5305653970 6150802390 8489046352 9841283824 10611307940 12301604780 16978092704 19682567648 21222615880 24603209560 33956185408 39365135296 42445231760 49206419120 69504067007 84890463520 98412838240 139008134014 169780927040 196825676480 278016268028 347520335035 556032536056 695040670070 1112065072112 1390081340140 2224130144224 2780162680280 4448260288448 5560325360560 11120650721120 22241301442240