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1001225250 = 232533731193
BaseRepresentation
bin111011101011010…
…111110000100010
32120202222111211200
4323223113300202
54022303202000
6243203422030
733545163024
oct7353276042
92522874750
101001225250
11474190393
1223b384916
1312c578a9c
1496d8a014
155cd74500
hex3bad7c22

1001225250 has 96 divisors (see below), whose sum is σ = 2716846704. Its totient is φ = 266054400.

The previous prime is 1001225231. The next prime is 1001225297. The reversal of 1001225250 is 525221001.

It can be written as a sum of positive squares in 8 ways, for example, as 42889401 + 958335849 = 6549^2 + 30957^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 838654 + ... + 839846.

Almost surely, 21001225250 is an apocalyptic number.

1001225250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001225250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358423352).

1001225250 is an abundant number, since it is smaller than the sum of its proper divisors (1715621454).

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

1001225250 is a wasteful number, since it uses less digits than its factorization.

1001225250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1001225250 is about 31642.1435746695. The cubic root of 1001225250 is about 1000.4082499759.

Adding to 1001225250 its reverse (525221001), we get a palindrome (1526446251).

The spelling of 1001225250 in words is "one billion, one million, two hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 373 375 450 746 750 1119 1125 1193 1865 2238 2250 2386 3357 3579 3730 5595 5965 6714 7158 9325 10737 11190 11930 16785 17895 18650 21474 27975 29825 33570 35790 46625 53685 55950 59650 83925 89475 93250 107370 139875 149125 167850 178950 268425 279750 298250 419625 444989 447375 536850 839250 889978 894750 1334967 1342125 2224945 2669934 2684250 4004901 4449890 6674835 8009802 11124725 13349670 20024505 22249450 33374175 40049010 55623625 66748350 100122525 111247250 166870875 200245050 333741750 500612625 1001225250