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222341220340 = 225235915315351
BaseRepresentation
bin1100111100010010010…
…0011100011111110100
3210020220100020021021121
43033010210130133310
512120323323022330
6250050411553324
722030552122121
oct3170444343764
9706810207247
10222341220340
1186326905768
123711175b844
1317c74a72095
14aa932c5748
155bb4a0517a
hex33c491c7f4

222341220340 has 96 divisors (see below), whose sum is σ = 495891486720. Its totient is φ = 83557584000.

The previous prime is 222341220337. The next prime is 222341220349. The reversal of 222341220340 is 43022143222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222341220349) 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, 41548665 + ... + 41554015.

It is an arithmetic number, because the mean of its divisors is an integer number (5165536320).

Almost surely, 2222341220340 is an apocalyptic number.

222341220340 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 222341220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247945743360).

222341220340 is an abundant number, since it is smaller than the sum of its proper divisors (273550266380).

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

222341220340 is a wasteful number, since it uses less digits than its factorization.

222341220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6973 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 222341220340 its reverse (43022143222), we get a palindrome (265363363562).

The spelling of 222341220340 in words is "two hundred twenty-two billion, three hundred forty-one million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 1531 2714 3062 5351 5428 6124 6785 7655 10702 13570 15310 21404 26755 27140 30620 35213 53510 70426 90329 107020 123073 140852 176065 180658 246146 315709 352130 361316 451645 492292 615365 631418 704260 903290 1230730 1262836 1578545 1806580 2077567 2461460 3157090 4155134 6314180 7261307 8192381 8310268 10387835 14522614 16384762 20775670 29045228 32769524 36306535 40961905 41551340 72613070 81923810 145226140 163847620 188424763 376849526 483350479 753699052 942123815 966700958 1884247630 1933401916 2416752395 3768495260 4833504790 9667009580 11117061017 22234122034 44468244068 55585305085 111170610170 222341220340