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2440222020 = 2232570919121
BaseRepresentation
bin1001000101110010…
…1101010101000100
320022001201010022100
42101130231111010
514444144101040
61042050232100
7114320354625
oct22134552504
96261633270
102440222020
111042494a15
12581285630
132cb72c572
1419212da4c
15e436db30
hex9172d544

2440222020 has 72 divisors (see below), whose sum is σ = 7412834520. Its totient is φ = 649774080.

The previous prime is 2440221989. The next prime is 2440222033. The reversal of 2440222020 is 202220442.

2440222020 is a `hidden beast` number, since 2 + 440 + 2 + 220 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 251666496 + 2188555524 = 15864^2 + 46782^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2440221984 and 2440222002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118060 + ... + 137180.

It is an arithmetic number, because the mean of its divisors is an integer number (102956035).

Almost surely, 22440222020 is an apocalyptic number.

2440222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440222020 is an abundant number, since it is smaller than the sum of its proper divisors (4972612500).

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

2440222020 is a wasteful number, since it uses less digits than its factorization.

2440222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19845 (or 19840 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2440222020 is about 49398.6034215543. The cubic root of 2440222020 is about 1346.3039311837.

Adding to 2440222020 its reverse (202220442), we get a palindrome (2642442462).

The spelling of 2440222020 in words is "two billion, four hundred forty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 709 1418 2127 2836 3545 4254 6381 7090 8508 10635 12762 14180 19121 21270 25524 31905 38242 42540 57363 63810 76484 95605 114726 127620 172089 191210 229452 286815 344178 382420 573630 688356 860445 1147260 1720890 3441780 13556789 27113578 40670367 54227156 67783945 81340734 122011101 135567890 162681468 203351835 244022202 271135780 406703670 488044404 610055505 813407340 1220111010 2440222020