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21222000300 = 22352531334717
BaseRepresentation
bin10011110000111011…
…100000011010101100
32000202222221022112010
4103300323200122230
5321430313002200
613425501041220
71350621011664
oct236073403254
960688838463
1021222000300
1190002a1a26
124143256210
132002902b37
1410547011a4
158431a0150
hex4f0ee06ac

21222000300 has 72 divisors (see below), whose sum is σ = 62560902096. Its totient is φ = 5552418560.

The previous prime is 21222000263. The next prime is 21222000301. The reversal of 21222000300 is 300022212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21222000301) by changing a digit.

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, 651459 + ... + 683258.

It is an arithmetic number, because the mean of its divisors is an integer number (868901418).

Almost surely, 221222000300 is an apocalyptic number.

21222000300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222000300 is an abundant number, since it is smaller than the sum of its proper divisors (41338901796).

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

21222000300 is a wasteful number, since it uses less digits than its factorization.

21222000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334787 (or 1334780 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 21222000300 its reverse (300022212), we get a palindrome (21522022512).

The spelling of 21222000300 in words is "twenty-one billion, two hundred twenty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 1334717 2669434 4004151 5338868 6673585 8008302 13347170 16016604 20020755 26694340 33367925 40041510 66735850 70740001 80083020 100103775 133471700 141480002 200207550 212220003 282960004 353700005 400415100 424440006 707400010 848880012 1061100015 1414800020 1768500025 2122200030 3537000050 4244400060 5305500075 7074000100 10611000150 21222000300