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222010000 = 24541492
BaseRepresentation
bin11010011101110…
…01101010010000
3120110202021110121
431032321222100
5423313310000
634010240024
75334024322
oct1516715220
9513667417
10222010000
11104356443
1262426014
1336cc2584
14216b1612
1514755b1a
hexd3b9a90

222010000 has 75 divisors (see below), whose sum is σ = 541140061. Its totient is φ = 88208000.

The previous prime is 222009937. The next prime is 222010013. The reversal of 222010000 is 10222.

It is a happy number.

The square root of 222010000 is 14900.

It is a perfect power (a square), and thus also a powerful number.

222010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 221057424 + 952576 = 14868^2 + 976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1489926 + ... + 1490074.

Almost surely, 2222010000 is an apocalyptic number.

222010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

222010000 is the 14900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222010000

222010000 is an abundant number, since it is smaller than the sum of its proper divisors (319130061).

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

222010000 is an frugal number, since it uses more digits than its factorization.

222010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The cubic root of 222010000 is about 605.5139861797.

Adding to 222010000 its reverse (10222), we get a palindrome (222020222).

The spelling of 222010000 in words is "two hundred twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 149 200 250 298 400 500 596 625 745 1000 1192 1250 1490 2000 2384 2500 2980 3725 5000 5960 7450 10000 11920 14900 18625 22201 29800 37250 44402 59600 74500 88804 93125 111005 149000 177608 186250 222010 298000 355216 372500 444020 555025 745000 888040 1110050 1490000 1776080 2220100 2775125 4440200 5550250 8880400 11100500 13875625 22201000 27751250 44402000 55502500 111005000 222010000