Search a number
-
+
2200046832 = 243413712391
BaseRepresentation
bin1000001100100010…
…0000110011110000
312200022202221220000
42003020200303300
514001202444312
61002150350000
7105343042464
oct20310406360
95608687800
102200046832
11a29961825
1251495b300
13290a49a79
1416c2904a4
15cd22aadc
hex83220cf0

2200046832 has 100 divisors (see below), whose sum is σ = 6414570096. Its totient is φ = 727937280.

The previous prime is 2200046819. The next prime is 2200046837. The reversal of 2200046832 is 2386400022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2200046796 and 2200046805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200046837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171357 + ... + 183747.

Almost surely, 22200046832 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 2200046832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207285048).

2200046832 is an abundant number, since it is smaller than the sum of its proper divisors (4214523264).

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

2200046832 is a wasteful number, since it uses less digits than its factorization.

2200046832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12548 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2200046832 is about 46904.6568263749. The cubic root of 2200046832 is about 1300.6006754675.

Adding to 2200046832 its reverse (2386400022), we get a palindrome (4586446854).

The spelling of 2200046832 in words is "two billion, two hundred million, forty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 162 216 274 324 411 432 548 648 822 1096 1233 1296 1644 2192 2466 3288 3699 4932 6576 7398 9864 11097 12391 14796 19728 22194 24782 29592 37173 44388 49564 59184 74346 88776 99128 111519 148692 177552 198256 223038 297384 334557 446076 594768 669114 892152 1003671 1338228 1697567 1784304 2007342 2676456 3395134 4014684 5092701 5352912 6790268 8029368 10185402 13580536 15278103 16058736 20370804 27161072 30556206 40741608 45834309 61112412 81483216 91668618 122224824 137502927 183337236 244449648 275005854 366674472 550011708 733348944 1100023416 2200046832