Search a number
-
+
2082240120 = 233537468973
BaseRepresentation
bin111110000011100…
…0111011001111000
312101010002202110110
41330013013121320
513231023140440
6542341344320
7102412514622
oct17407073170
95333082413
102082240120
11979408904
124a14080a0
1327251025c
1415a785c12
15c2c0a080
hex7c1c7678

2082240120 has 64 divisors (see below), whose sum is σ = 6415564320. Its totient is φ = 540255744.

The previous prime is 2082240119. The next prime is 2082240131. The reversal of 2082240120 is 210422802.

It is a happy number.

It is a super-2 number, since 2×20822401202 = 8671447834675228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230047 + ... + 238926.

Almost surely, 22082240120 is an apocalyptic number.

2082240120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082240120 is an abundant number, since it is smaller than the sum of its proper divisors (4333324200).

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

2082240120 is a wasteful number, since it uses less digits than its factorization.

2082240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469024 (or 469020 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2082240120 is about 45631.5693352749. The cubic root of 2082240120 is about 1276.9589509855.

Adding to 2082240120 its reverse (210422802), we get a palindrome (2292662922).

The spelling of 2082240120 in words is "two billion, eighty-two million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 468973 937946 1406919 1875892 2344865 2813838 3751784 4689730 5627676 7034595 9379460 11255352 14069190 17352001 18758920 28138380 34704002 52056003 56276760 69408004 86760005 104112006 138816008 173520010 208224012 260280015 347040020 416448024 520560030 694080040 1041120060 2082240120