Search a number
-
+
222230100 = 223524715761
BaseRepresentation
bin11010011111011…
…11011001010100
3120111011110101110
431033233121110
5423342330400
634015055020
75335632111
oct1517573124
9514143343
10222230100
11104496844
1262511470
133706b801
142172b908
151479ae50
hexd3ef654

222230100 has 72 divisors (see below), whose sum is σ = 656707968. Its totient is φ = 57996800.

The previous prime is 222230059. The next prime is 222230101. The reversal of 222230100 is 1032222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222230101) 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 23 ways as a sum of consecutive naturals, for example, 6220 + ... + 21980.

It is an arithmetic number, because the mean of its divisors is an integer number (9120944).

Almost surely, 2222230100 is an apocalyptic number.

222230100 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 222230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328353984).

222230100 is an abundant number, since it is smaller than the sum of its proper divisors (434477868).

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

222230100 is a wasteful number, since it uses less digits than its factorization.

222230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 222230100 is about 14907.3840763563. The cubic root of 222230100 is about 605.7140216289.

Adding to 222230100 its reverse (1032222), we get a palindrome (223262322).

The spelling of 222230100 in words is "two hundred twenty-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 15761 31522 47283 63044 78805 94566 157610 189132 236415 315220 394025 472830 740767 788050 945660 1182075 1481534 1576100 2222301 2364150 2963068 3703835 4444602 4728300 7407670 8889204 11111505 14815340 18519175 22223010 37038350 44446020 55557525 74076700 111115050 222230100