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2255222100 = 22352193112763
BaseRepresentation
bin1000011001101011…
…1111010101010100
312211011121011010110
42012122333111110
514104314101400
61011441123020
7106613033355
oct20632772524
95734534113
102255222100
11a5801781a
1252b329470
1329c2c7961
14175733d2c
15d2ec8e50
hex866bf554

2255222100 has 144 divisors (see below), whose sum is σ = 7090657280. Its totient is φ = 551318400.

The previous prime is 2255222087. The next prime is 2255222111. The reversal of 2255222100 is 12225522.

It is a congruent number.

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, 170319 + ... + 183081.

Almost surely, 22255222100 is an apocalyptic number.

2255222100 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 2255222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545328640).

2255222100 is an abundant number, since it is smaller than the sum of its proper divisors (4835435180).

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

2255222100 is a wasteful number, since it uses less digits than its factorization.

2255222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2255222100 is about 47489.1787673782. The cubic root of 2255222100 is about 1311.3836748336.

Adding to 2255222100 its reverse (12225522), we get a palindrome (2267447622).

The spelling of 2255222100 in words is "two billion, two hundred fifty-five million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 31 38 50 57 60 62 75 76 93 95 100 114 124 150 155 186 190 228 285 300 310 372 380 465 475 570 589 620 775 930 950 1140 1178 1425 1550 1767 1860 1900 2325 2356 2850 2945 3100 3534 4650 5700 5890 7068 8835 9300 11780 12763 14725 17670 25526 29450 35340 38289 44175 51052 58900 63815 76578 88350 127630 153156 176700 191445 242497 255260 319075 382890 395653 484994 638150 727491 765780 791306 957225 969988 1186959 1212485 1276300 1454982 1582612 1914450 1978265 2373918 2424970 2909964 3637455 3828900 3956530 4747836 4849940 5934795 6062425 7274910 7517407 7913060 9891325 11869590 12124850 14549820 15034814 18187275 19782650 22552221 23739180 24249700 29673975 30069628 36374550 37587035 39565300 45104442 59347950 72749100 75174070 90208884 112761105 118695900 150348140 187935175 225522210 375870350 451044420 563805525 751740700 1127611050 2255222100