Search a number
-
+
1001222010 = 232573152393
BaseRepresentation
bin111011101011010…
…110111101111010
32120202222100101200
4323223112331322
54022303101020
6243203355030
733545150415
oct7353267572
92522870350
101001222010
11474188a08
1223b382a76
1312c577479
1496d88b7c
155cd73590
hex3bad6f7a

1001222010 has 48 divisors (see below), whose sum is σ = 2638854504. Its totient is φ = 263333376.

The previous prime is 1001221999. The next prime is 1001222017. The reversal of 1001222010 is 102221001.

It can be written as a sum of positive squares in 4 ways, for example, as 979627401 + 21594609 = 31299^2 + 4647^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001221983 and 1001222001.

It is not an unprimeable number, because it can be changed into a prime (1001222017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69627 + ... + 82766.

Almost surely, 21001222010 is an apocalyptic number.

1001222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001222010 is an abundant number, since it is smaller than the sum of its proper divisors (1637632494).

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

1001222010 is a wasteful number, since it uses less digits than its factorization.

1001222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152479 (or 152476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001222010 is about 31642.0923770853. The cubic root of 1001222010 is about 1000.4071708561.

Adding to 1001222010 its reverse (102221001), we get a palindrome (1103443011).

The spelling of 1001222010 in words is "one billion, one million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 152393 304786 457179 761965 914358 1371537 1523930 2285895 2743074 4571790 6857685 11124689 13715370 22249378 33374067 55623445 66748134 100122201 111246890 166870335 200244402 333740670 500611005 1001222010