[go: up one dir, main page]

Search a number
-
+
2772250200 = 2332523534363
BaseRepresentation
bin1010010100111101…
…0010111001011000
321011012110220100100
42211033102321120
521134144001300
61135030535400
7125461511046
oct24517227130
97135426310
102772250200
1111a2954675
12654507560
13352462545
141c427d396
151135a7700
hexa53d2e58

2772250200 has 144 divisors (see below), whose sum is σ = 9338654520. Its totient is φ = 737003520.

The previous prime is 2772250199. The next prime is 2772250249. The reversal of 2772250200 is 20522772.

It is a happy number.

2772250200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633219 + ... + 637581.

Almost surely, 22772250200 is an apocalyptic number.

2772250200 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 2772250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669327260).

2772250200 is an abundant number, since it is smaller than the sum of its proper divisors (6566404320).

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

2772250200 is a wasteful number, since it uses less digits than its factorization.

2772250200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2772250200 is about 52652.1623487583. The cubic root of 2772250200 is about 1404.7880617319.

Adding to 2772250200 its reverse (20522772), we get a palindrome (2792772972).

The spelling of 2772250200 in words is "two billion, seven hundred seventy-two million, two hundred fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 353 360 450 600 706 900 1059 1412 1765 1800 2118 2824 3177 3530 4236 4363 5295 6354 7060 8472 8726 8825 10590 12708 13089 14120 15885 17452 17650 21180 21815 25416 26178 26475 31770 34904 35300 39267 42360 43630 52356 52950 63540 65445 70600 78534 79425 87260 104712 105900 109075 127080 130890 157068 158850 174520 196335 211800 218150 261780 314136 317700 327225 392670 436300 523560 635400 654450 785340 872600 981675 1308900 1540139 1570680 1963350 2617800 3080278 3926700 4620417 6160556 7700695 7853400 9240834 12321112 13861251 15401390 18481668 23102085 27722502 30802780 36963336 38503475 46204170 55445004 61605560 69306255 77006950 92408340 110890008 115510425 138612510 154013900 184816680 231020850 277225020 308027800 346531275 462041700 554450040 693062550 924083400 1386125100 2772250200