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21712221220 = 2256411693621
BaseRepresentation
bin10100001110001001…
…100011010000100100
32002001011101010012111
4110032021203100210
5323431312034340
613550252130404
71366022556334
oct241611432044
962034333174
1021712221220
119231a8a188
12425b466a04
132080342aa1
14109d86d0c4
15871235aea
hex50e263424

21712221220 has 24 divisors (see below), whose sum is σ = 45666823608. Its totient is φ = 8671334400.

The previous prime is 21712221217. The next prime is 21712221221. The reversal of 21712221220 is 2212221712.

It can be written as a sum of positive squares in 4 ways, for example, as 2846649316 + 18865571904 = 53354^2 + 137352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21712221191 and 21712221200.

It is not an unprimeable number, because it can be changed into a prime (21712221221) 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, 833991 + ... + 859630.

It is an arithmetic number, because the mean of its divisors is an integer number (1902784317).

Almost surely, 221712221220 is an apocalyptic number.

21712221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21712221220 is an abundant number, since it is smaller than the sum of its proper divisors (23954602388).

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

21712221220 is a wasteful number, since it uses less digits than its factorization.

21712221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694271 (or 1694269 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 21712221220 its reverse (2212221712), we get a palindrome (23924442932).

The spelling of 21712221220 in words is "twenty-one billion, seven hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 12820 1693621 3387242 6774484 8468105 16936210 33872420 1085611061 2171222122 4342444244 5428055305 10856110610 21712221220