[go: up one dir, main page]

Search a number
-
+
1001222200 = 2352112347421
BaseRepresentation
bin111011101011010…
…111000000111000
32120202222100122201
4323223113000320
54022303102300
6243203355544
733545151106
oct7353270070
92522870581
101001222200
11474189070
1223b382bb4
1312c577594
1496d88c76
155cd7366a
hex3bad7038

1001222200 has 192 divisors, whose sum is σ = 2712683520. Its totient is φ = 340032000.

The previous prime is 1001222197. The next prime is 1001222207. The reversal of 1001222200 is 22221001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001222207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2377990 + ... + 2378410.

It is an arithmetic number, because the mean of its divisors is an integer number (14128560).

Almost surely, 21001222200 is an apocalyptic number.

1001222200 is a gapful number since it is divisible by the number (10) 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 1001222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356341760).

1001222200 is an abundant number, since it is smaller than the sum of its proper divisors (1711461320).

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

1001222200 is a wasteful number, since it uses less digits than its factorization.

1001222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1001222200 is about 31642.0953794151. The cubic root of 1001222200 is about 1000.4072341378.

Adding to 1001222200 its reverse (22221001), we get a palindrome (1023443201).

The spelling of 1001222200 in words is "one billion, one million, two hundred twenty-two thousand, two hundred".