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22243414400 = 275238318149
BaseRepresentation
bin10100101101110011…
…111001000110000000
32010102011220112020222
4110231303321012000
5331023303230100
614115105322212
71415132621444
oct245563710600
963364815228
1022243414400
119484911509
124389336368
1321363c9c8c
141110224824
158a2bb1485
hex52dcf9180

22243414400 has 96 divisors (see below), whose sum is σ = 55094688000. Its totient is φ = 8873646080.

The previous prime is 22243414373. The next prime is 22243414421. The reversal of 22243414400 is 441434222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22243414400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1216526 + ... + 1234674.

It is an arithmetic number, because the mean of its divisors is an integer number (573903000).

Almost surely, 222243414400 is an apocalyptic number.

22243414400 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 22243414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27547344000).

22243414400 is an abundant number, since it is smaller than the sum of its proper divisors (32851273600).

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

22243414400 is a wasteful number, since it uses less digits than its factorization.

22243414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18556 (or 18539 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 22243414400 its reverse (441434222), we get a palindrome (22684848622).

The spelling of 22243414400 in words is "twenty-two billion, two hundred forty-three million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 383 400 640 766 800 1532 1600 1915 3064 3200 3830 6128 7660 9575 12256 15320 18149 19150 24512 30640 36298 38300 49024 61280 72596 76600 90745 122560 145192 153200 181490 245120 290384 306400 362980 453725 580768 612800 725960 907450 1161536 1225600 1451920 1814900 2323072 2903840 3629800 5807680 6951067 7259600 11615360 13902134 14519200 27804268 29038400 34755335 55608536 58076800 69510670 111217072 139021340 173776675 222434144 278042680 347553350 444868288 556085360 695106700 889736576 1112170720 1390213400 2224341440 2780426800 4448682880 5560853600 11121707200 22243414400