Search a number
-
+
2200702040 = 235535991733
BaseRepresentation
bin1000001100101100…
…0000110001011000
312200101000020122222
42003023000301120
514001334431130
61002212403212
7105351441635
oct20313006130
95611006588
102200702040
11a2a26a019
12515016508
13290c19074
1416c3c118c
15cd309ce5
hex832c0c58

2200702040 has 64 divisors (see below), whose sum is σ = 5056344000. Its totient is φ = 861732352.

The previous prime is 2200702039. The next prime is 2200702057. The reversal of 2200702040 is 402070022.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1269014 + ... + 1270746.

It is an arithmetic number, because the mean of its divisors is an integer number (79005375).

Almost surely, 22200702040 is an apocalyptic number.

2200702040 is a gapful number since it is divisible by the number (20) 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 2200702040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528172000).

2200702040 is an abundant number, since it is smaller than the sum of its proper divisors (2855641960).

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

2200702040 is a wasteful number, since it uses less digits than its factorization.

2200702040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2200702040 is about 46911.6407728402. The cubic root of 2200702040 is about 1300.7297756565.

Adding to 2200702040 its reverse (402070022), we get a palindrome (2602772062).

The spelling of 2200702040 in words is "two billion, two hundred million, seven hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 599 1060 1198 1733 2120 2396 2995 3466 4792 5990 6932 8665 11980 13864 17330 23960 31747 34660 63494 69320 91849 126988 158735 183698 253976 317470 367396 459245 634940 734792 918490 1038067 1269880 1836980 2076134 3673960 4152268 5190335 8304536 10380670 20761340 41522680 55017551 110035102 220070204 275087755 440140408 550175510 1100351020 2200702040