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22220220100 = 225213592111373
BaseRepresentation
bin10100101100011011…
…011010011011000100
32010100120021010122211
4110230123122123010
5331001334020400
614112520233204
71414431516541
oct245433323304
963316233584
1022220220100
11947280a271
12438160b804
132131668940
14110b107bc8
158a0b2ddba
hex52c6da6c4

22220220100 has 144 divisors (see below), whose sum is σ = 53095976640. Its totient is φ = 8021260800.

The previous prime is 22220220091. The next prime is 22220220193. The reversal of 22220220100 is 102202222.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16183014 + ... + 16184386.

It is an arithmetic number, because the mean of its divisors is an integer number (368722060).

Almost surely, 222220220100 is an apocalyptic number.

22220220100 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 22220220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26547988320).

22220220100 is an abundant number, since it is smaller than the sum of its proper divisors (30875756540).

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

22220220100 is a wasteful number, since it uses less digits than its factorization.

22220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22220220100 its reverse (102202222), we get a palindrome (22322422322).

The spelling of 22220220100 in words is "twenty-two billion, two hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 211 236 260 295 325 422 590 650 767 844 1055 1180 1300 1373 1475 1534 2110 2743 2746 2950 3068 3835 4220 5275 5486 5492 5900 6865 7670 10550 10972 12449 13715 13730 15340 17849 19175 21100 24898 27430 27460 34325 35698 38350 49796 54860 62245 68575 68650 71396 76700 81007 89245 124490 137150 137300 161837 162014 178490 248980 274300 289703 311225 323674 324028 356980 405035 446225 579406 622450 647348 809185 810070 892450 1053091 1158812 1244900 1448515 1618370 1620140 1784900 2025175 2106182 2897030 3236740 3766139 4045925 4050350 4212364 5265455 5794060 7242575 7532278 8091850 8100700 10530910 14485150 15064556 16183700 17092477 18830695 21061820 26327275 28970300 34184954 37661390 52654550 68369908 75322780 85462385 94153475 105309100 170924770 188306950 222202201 341849540 376613900 427311925 444404402 854623850 888808804 1111011005 1709247700 2222022010 4444044020 5555055025 11110110050 22220220100