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22202044020 = 22325139488053
BaseRepresentation
bin10100101011010110…
…000100111001110100
32010022022001200202200
4110223112010321310
5330432210402040
614111030504500
71414121155212
oct245326047164
963268050680
1022202044020
119463525312
124377505130
13212a973770
141108935cb2
1589e23d630
hex52b584e74

22202044020 has 72 divisors (see below), whose sum is σ = 72526684776. Its totient is φ = 5465117952.

The previous prime is 22202044009. The next prime is 22202044031. The reversal of 22202044020 is 2044020222.

22202044020 is a `hidden beast` number, since 2 + 2 + 202 + 0 + 440 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (22202044009) and next prime (22202044031).

It can be written as a sum of positive squares in 4 ways, for example, as 28451556 + 22173592464 = 5334^2 + 148908^2 .

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 = 22202043984 and 22202044002.

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 23 ways as a sum of consecutive naturals, for example, 4741687 + ... + 4746366.

Almost surely, 222202044020 is an apocalyptic number.

22202044020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202044020 is an abundant number, since it is smaller than the sum of its proper divisors (50324640756).

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

22202044020 is a wasteful number, since it uses less digits than its factorization.

22202044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9488081 (or 9488076 counting only the distinct ones).

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

Adding to 22202044020 its reverse (2044020222), we get a palindrome (24246064242).

The spelling of 22202044020 in words is "twenty-two billion, two hundred two million, forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 9488053 18976106 28464159 37952212 47440265 56928318 85392477 94880530 113856636 123344689 142320795 170784954 189761060 246689378 284641590 341569908 370034067 426962385 493378756 569283180 616723445 740068134 853924770 1110102201 1233446890 1480136268 1707849540 1850170335 2220204402 2466893780 3700340670 4440408804 5550511005 7400681340 11101022010 22202044020