Search a number
-
+
1001222300 = 225213799749
BaseRepresentation
bin111011101011010…
…111000010011100
32120202222100210102
4323223113002130
54022303103200
6243203400232
733545151311
oct7353270234
92522870712
101001222300
11474189151
1223b383078
1312c577640
1496d88d08
155cd736d5
hex3bad709c

1001222300 has 72 divisors (see below), whose sum is σ = 2369640000. Its totient is φ = 364965120.

The previous prime is 1001222297. The next prime is 1001222323. The reversal of 1001222300 is 32221001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 97826 + ... + 107574.

Almost surely, 21001222300 is an apocalyptic number.

1001222300 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 1001222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184820000).

1001222300 is an abundant number, since it is smaller than the sum of its proper divisors (1368417700).

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

1001222300 is a wasteful number, since it uses less digits than its factorization.

1001222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855 (or 9848 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1001222300 is about 31642.0969595885. The cubic root of 1001222300 is about 1000.4072674440.

Adding to 1001222300 its reverse (32221001), we get a palindrome (1033443301).

The spelling of 1001222300 in words is "one billion, one million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 158 260 316 325 395 650 790 1027 1300 1580 1975 2054 3950 4108 5135 7900 9749 10270 19498 20540 25675 38996 48745 51350 97490 102700 126737 194980 243725 253474 487450 506948 633685 770171 974900 1267370 1540342 2534740 3080684 3168425 3850855 6336850 7701710 10012223 12673700 15403420 19254275 20024446 38508550 40048892 50061115 77017100 100122230 200244460 250305575 500611150 1001222300