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21822181840 = 245535146741
BaseRepresentation
bin10100010100101101…
…000001000111010000
32002022211021200211001
4110110231001013100
5324142434304330
614005221031344
71401526325254
oct242455010720
962284250731
1021822181840
119289064228
124290255554
13209a063244
1410b02d4264
1587ac069ca
hex514b411d0

21822181840 has 40 divisors (see below), whose sum is σ = 51693876648. Its totient is φ = 8564175360.

The previous prime is 21822181813. The next prime is 21822181847. The reversal of 21822181840 is 4818122812.

It can be written as a sum of positive squares in 4 ways, for example, as 4072481856 + 17749699984 = 63816^2 + 133228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 21822181840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21822181847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2569131 + ... + 2577610.

Almost surely, 221822181840 is an apocalyptic number.

21822181840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21822181840 is an abundant number, since it is smaller than the sum of its proper divisors (29871694808).

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

21822181840 is a wasteful number, since it uses less digits than its factorization.

21822181840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146807 (or 5146801 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The spelling of 21822181840 in words is "twenty-one billion, eight hundred twenty-two million, one hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 5146741 10293482 20586964 25733705 41173928 51467410 82347856 102934820 205869640 272777273 411739280 545554546 1091109092 1363886365 2182218184 2727772730 4364436368 5455545460 10911090920 21822181840