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2230323021100 = 225247678385333
BaseRepresentation
bin100000011101001001100…
…111001000010100101100
321220012212001020121111001
4200131021213020110230
5243020200143133400
64424332442410044
7320064324611266
oct40351147102454
97805761217431
102230323021100
1178a9692235a9
12300302800924
1313241ab46985
1479d3bc62b36
153d0385d5a6a
hex207499c852c

2230323021100 has 144 divisors (see below), whose sum is σ = 5077048048128. Its totient is φ = 849742882560.

The previous prime is 2230323021037. The next prime is 2230323021109. The reversal of 2230323021100 is 11203230322.

It is not an unprimeable number, because it can be changed into a prime (2230323021109) by changing a digit.

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, 26094034 + ... + 26179366.

It is an arithmetic number, because the mean of its divisors is an integer number (35257278112).

Almost surely, 22230323021100 is an apocalyptic number.

2230323021100 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 2230323021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538524024064).

2230323021100 is an abundant number, since it is smaller than the sum of its proper divisors (2846725027028).

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

2230323021100 is a wasteful number, since it uses less digits than its factorization.

2230323021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85544 (or 85537 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2230323021100 its reverse (11203230322), we get a palindrome (2241526251422).

The spelling of 2230323021100 in words is "two trillion, two hundred thirty billion, three hundred twenty-three million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 67 83 94 100 134 166 188 235 268 332 335 415 470 670 830 940 1175 1340 1660 1675 2075 2350 3149 3350 3901 4150 4700 5561 6298 6700 7802 8300 11122 12596 15604 15745 19505 22244 27805 31490 39010 55610 62980 78020 78725 85333 97525 111220 139025 157450 170666 195050 261367 278050 314900 341332 390100 426665 522734 556100 853330 1045468 1306835 1706660 2133325 2613670 4010651 4266650 5227340 5717311 6534175 7082639 8021302 8533300 11434622 13068350 14165278 16042604 20053255 22869244 26136700 28330556 28586555 35413195 40106510 57173110 70826390 80213020 100266275 114346220 141652780 142932775 177065975 200532550 268713617 285865550 332884033 354131950 401065100 474536813 537427234 571731100 665768066 708263900 949073626 1074854468 1331536132 1343568085 1664420165 1898147252 2372684065 2687136170 3328840330 4745368130 5374272340 6657680660 6717840425 8322100825 9490736260 11863420325 13435680850 16644201650 22303230211 23726840650 26871361700 33288403300 44606460422 47453681300 89212920844 111516151055 223032302110 446064604220 557580755275 1115161510550 2230323021100