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222011000020 = 22526981411421
BaseRepresentation
bin1100111011000011100…
…0110000010011010100
3210020001022212100011101
43032300320300103110
512114134304000040
6245553534115444
722016432235505
oct3166070602324
9706038770141
10222011000020
1186177470307
123703b04bb84
1317c21522c44
14aa614c6bac
155b95a2709a
hex33b0e304d4

222011000020 has 24 divisors (see below), whose sum is σ = 466241512968. Its totient is φ = 88800892800.

The previous prime is 222011000011. The next prime is 222011000039. The reversal of 222011000020 is 20000110222.

It can be written as a sum of positive squares in 4 ways, for example, as 5717174544 + 216293825476 = 75612^2 + 465074^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 222010999970 and 222011000006.

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 7 ways as a sum of consecutive naturals, for example, 333910 + ... + 745330.

It is an arithmetic number, because the mean of its divisors is an integer number (19426729707).

Almost surely, 2222011000020 is an apocalyptic number.

222011000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222011000020 is an abundant number, since it is smaller than the sum of its proper divisors (244230512948).

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

222011000020 is a wasteful number, since it uses less digits than its factorization.

222011000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438411 (or 438409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 222011000020 its reverse (20000110222), we get a palindrome (242011110242).

The spelling of 222011000020 in words is "two hundred twenty-two billion, eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 26981 53962 107924 134905 269810 411421 539620 822842 1645684 2057105 4114210 8228420 11100550001 22201100002 44402200004 55502750005 111005500010 222011000020