Search a number
-
+
2211103232 = 29131719541
BaseRepresentation
bin1000001111001010…
…1100001000000000
312201002120200102022
42003302230020000
514012020300412
61003223341012
7105536032052
oct20362541000
95632520368
102211103232
11a35123648
125185b1768
1329311b410
1416d92b8d2
15ce1b1a72
hex83cac200

2211103232 has 80 divisors (see below), whose sum is σ = 5037849432. Its totient is φ = 960430080.

The previous prime is 2211103199. The next prime is 2211103253. The reversal of 2211103232 is 2323011122.

It can be written as a sum of positive squares in 4 ways, for example, as 1563095296 + 648007936 = 39536^2 + 25456^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2211103232.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103382 + ... + 122922.

Almost surely, 22211103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518924716).

2211103232 is an abundant number, since it is smaller than the sum of its proper divisors (2826746200).

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

2211103232 is a wasteful number, since it uses less digits than its factorization.

2211103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19589 (or 19573 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2211103232 is about 47022.3694851716. The cubic root of 2211103232 is about 1302.7757714939.

Adding to 2211103232 its reverse (2323011122), we get a palindrome (4534114354).

The spelling of 2211103232 in words is "two billion, two hundred eleven million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1088 1664 1768 2176 3328 3536 4352 6656 7072 8704 14144 19541 28288 39082 56576 78164 113152 156328 254033 312656 332197 508066 625312 664394 1016132 1250624 1328788 2032264 2501248 2657576 4064528 4318561 5002496 5315152 8129056 8637122 10004992 10630304 16258112 17274244 21260608 32516224 34548488 42521216 65032448 69096976 85042432 130064896 138193952 170084864 276387904 552775808 1105551616 2211103232