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10222200233020 = 22517194597344221
BaseRepresentation
bin1001010011000000101010…
…0111010001110000111100
31100012020021201011121212101
42110300022213101300330
52314440031224424040
633424003003114444
72103346436224606
oct224601247216074
940166251147771
1010222200233020
1132912355a2936
12119116a212a24
13591c45935a49
14274a857d4176
1512ad8239909a
hex94c0a9d1c3c

10222200233020 has 96 divisors (see below), whose sum is σ = 23930919270720. Its totient is φ = 3645008916480.

The previous prime is 10222200232991. The next prime is 10222200233053. The reversal of 10222200233020 is 2033200222201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29524510 + ... + 29868730.

It is an arithmetic number, because the mean of its divisors is an integer number (249280409070).

Almost surely, 210222200233020 is an apocalyptic number.

10222200233020 is a gapful number since it is divisible by the number (10) 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 10222200233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11965459635360).

10222200233020 is an abundant number, since it is smaller than the sum of its proper divisors (13708719037700).

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

10222200233020 is a wasteful number, since it uses less digits than its factorization.

10222200233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348863 (or 348861 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10222200233020 its reverse (2033200222201), we get a palindrome (12255400455221).

The spelling of 10222200233020 in words is "ten trillion, two hundred twenty-two billion, two hundred million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 4597 6460 9194 18388 22985 45970 78149 87343 91940 156298 174686 312596 344221 349372 390745 436715 688442 781490 873430 1376884 1484831 1562980 1721105 1746860 2969662 3442210 5851757 5939324 6540199 6884420 7424155 11703514 13080398 14848310 23407028 26160796 29258785 29696620 32700995 58517570 65401990 111183383 117035140 130803980 222366766 444733532 555916915 1111833830 1582383937 2223667660 3164767874 6329535748 7911919685 15823839370 26900526929 30065294803 31647678740 53801053858 60130589606 107602107716 120261179212 134502634645 150326474015 269005269290 300652948030 511110011651 538010538580 601305896060 1022220023302 2044440046604 2555550058255 5111100116510 10222200233020