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223420100 = 22523197743
BaseRepresentation
bin11010101000100…
…01111011000100
3120120101220202112
431110101323010
5424143420400
634100400152
75352016361
oct1524217304
9516356675
10223420100
11105129912
12629a6058
1337397357
142195b468
1514933835
hexd511ec4

223420100 has 72 divisors (see below), whose sum is σ = 506300928. Its totient is φ = 85478400.

The previous prime is 223420073. The next prime is 223420117. The reversal of 223420100 is 1024322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300329 + ... + 301071.

Almost surely, 2223420100 is an apocalyptic number.

223420100 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 223420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253150464).

223420100 is an abundant number, since it is smaller than the sum of its proper divisors (282880828).

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

223420100 is a wasteful number, since it uses less digits than its factorization.

223420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 223420100 is about 14947.2438931062. The cubic root of 223420100 is about 606.7932587466.

Adding to 223420100 its reverse (1024322), we get a palindrome (224444422).

The spelling of 223420100 in words is "two hundred twenty-three million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 97 100 124 155 194 310 388 485 620 743 775 970 1486 1550 1940 2425 2972 3007 3100 3715 4850 6014 7430 9700 12028 14860 15035 18575 23033 30070 37150 46066 60140 72071 74300 75175 92132 115165 144142 150350 230330 288284 300700 360355 460660 575825 720710 1151650 1441420 1801775 2234201 2303300 3603550 4468402 7207100 8936804 11171005 22342010 44684020 55855025 111710050 223420100