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22022001000 = 2332532446889
BaseRepresentation
bin10100100000100111…
…010001000101101000
32002211202021120011200
4110200213101011220
5330100113013000
614041115524200
71406503630356
oct244047210550
962752246150
1022022001000
11938093332a
124327159660
1320cc58612c
1410cca6a7d6
1588d527500
hex5209d1168

22022001000 has 96 divisors (see below), whose sum is σ = 74434393800. Its totient is φ = 5872531200.

The previous prime is 22022000989. The next prime is 22022001007. The reversal of 22022001000 is 10022022.

It can be written as a sum of positive squares in 4 ways, for example, as 2710451844 + 19311549156 = 52062^2 + 138966^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22022001007) 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 23 ways as a sum of consecutive naturals, for example, 1214445 + ... + 1232444.

Almost surely, 222022001000 is an apocalyptic number.

22022001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022001000 is an abundant number, since it is smaller than the sum of its proper divisors (52412392800).

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

22022001000 is a wasteful number, since it uses less digits than its factorization.

22022001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446916 (or 2446899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22022001000 its reverse (10022022), we get a palindrome (22032023022).

The spelling of 22022001000 in words is "twenty-two billion, twenty-two million, one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 2446889 4893778 7340667 9787556 12234445 14681334 19575112 22022001 24468890 29362668 36703335 44044002 48937780 58725336 61172225 73406670 88088004 97875560 110110005 122344450 146813340 176176008 183516675 220220010 244688900 293626680 305861125 367033350 440440020 489377800 550550025 611722250 734066700 880880040 917583375 1101100050 1223444500 1468133400 1835166750 2202200100 2446889000 2752750125 3670333500 4404400200 5505500250 7340667000 11011000500 22022001000