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2120222240 = 25519169379
BaseRepresentation
bin111111001100000…
…0000011000100000
312110202120110010122
41332120000120200
513320234102430
6550215415412
7103353406643
oct17630003040
95422513118
102120222240
119988a0394
124b2084568
1327a34b496
14161831a5a
15c620dee5
hex7e600620

2120222240 has 48 divisors (see below), whose sum is σ = 5035322880. Its totient is φ = 843636480.

The previous prime is 2120222213. The next prime is 2120222261. The reversal of 2120222240 is 422220212.

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 7 ways as a sum of consecutive naturals, for example, 4130 + ... + 65249.

It is an arithmetic number, because the mean of its divisors is an integer number (104902560).

Almost surely, 22120222240 is an apocalyptic number.

2120222240 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 2120222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517661440).

2120222240 is an abundant number, since it is smaller than the sum of its proper divisors (2915100640).

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

2120222240 is a wasteful number, since it uses less digits than its factorization.

2120222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69585 (or 69577 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2120222240 is about 46045.8710418209. The cubic root of 2120222240 is about 1284.6765455370.

Adding to 2120222240 its reverse (422220212), we get a palindrome (2542442452).

The spelling of 2120222240 in words is "two billion, one hundred twenty million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 3056 3820 6112 7640 15280 30560 69379 138758 277516 346895 555032 693790 1110064 1387580 2220128 2775160 5550320 11100640 13251389 26502778 53005556 66256945 106011112 132513890 212022224 265027780 424044448 530055560 1060111120 2120222240