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2105221470 = 23511193110831
BaseRepresentation
bin111110101111011…
…0010000101011110
312102201100022221120
41331132302011132
513302414041340
6544522111410
7103112041632
oct17536620536
95381308846
102105221470
11990385060
124a904b566
132771c86a1
1415d848dc2
15c4c494d0
hex7d7b215e

2105221470 has 128 divisors (see below), whose sum is σ = 5989662720. Its totient is φ = 467856000.

The previous prime is 2105221457. The next prime is 2105221471. The reversal of 2105221470 is 741225012.

It is a self number, because there is not a number n which added to its sum of digits gives 2105221470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105221471) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 188955 + ... + 199785.

It is an arithmetic number, because the mean of its divisors is an integer number (46794240).

Almost surely, 22105221470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105221470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994831360).

2105221470 is an abundant number, since it is smaller than the sum of its proper divisors (3884441250).

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

2105221470 is a wasteful number, since it uses less digits than its factorization.

2105221470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2105221470 is about 45882.6924885626. The cubic root of 2105221470 is about 1281.6396366585.

Adding to 2105221470 its reverse (741225012), we get a palindrome (2846446482).

The spelling of 2105221470 in words is "two billion, one hundred five million, two hundred twenty-one thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 31 33 38 55 57 62 66 93 95 110 114 155 165 186 190 209 285 310 330 341 418 465 570 589 627 682 930 1023 1045 1178 1254 1705 1767 2046 2090 2945 3135 3410 3534 5115 5890 6270 6479 8835 10230 10831 12958 17670 19437 21662 32395 32493 38874 54155 64790 64986 97185 108310 119141 162465 194370 205789 238282 324930 335761 357423 411578 595705 617367 671522 714846 1007283 1028945 1191410 1234734 1678805 1787115 2014566 2057890 2263679 3086835 3357610 3574230 3693371 4527358 5036415 6173670 6379459 6791037 7386742 10072830 11080113 11318395 12758918 13582074 18466855 19138377 22160226 22636790 31897295 33955185 36933710 38276754 55400565 63794590 67910370 70174049 95691885 110801130 140348098 191383770 210522147 350870245 421044294 701740490 1052610735 2105221470