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2768222440 = 23569205561
BaseRepresentation
bin1010010011111111…
…1011100011101000
321010220220021022001
42210333323203220
521132131104230
61134404340344
7125412334234
oct24477734350
97126807261
102768222440
1111a0653545
126530a46b4
13351682159
141c39115c4
1511305e0ca
hexa4ffb8e8

2768222440 has 16 divisors (see below), whose sum is σ = 6228500580. Its totient is φ = 1107288960.

The previous prime is 2768222437. The next prime is 2768222441. The reversal of 2768222440 is 442228672.

It can be written as a sum of positive squares in 2 ways, for example, as 2643810724 + 124411716 = 51418^2 + 11154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2768222440.

It is not an unprimeable number, because it can be changed into a prime (2768222441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34602741 + ... + 34602820.

Almost surely, 22768222440 is an apocalyptic number.

2768222440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768222440 is an abundant number, since it is smaller than the sum of its proper divisors (3460278140).

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

2768222440 is a wasteful number, since it uses less digits than its factorization.

2768222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69205572 (or 69205568 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 2768222440 is about 52613.8996843990. The cubic root of 2768222440 is about 1404.1074002738.

The spelling of 2768222440 in words is "two billion, seven hundred sixty-eight million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 69205561 138411122 276822244 346027805 553644488 692055610 1384111220 2768222440