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22020221000 = 2353194312689
BaseRepresentation
bin10100100000100000…
…011110100001001000
32002211121221010110202
4110200200132201020
5330044134033000
614041013431332
71406452535021
oct244040364110
962747833422
1022020221000
11937a927a58
12432663b548
1320cc0b1b8b
1410cc725c48
1588d2c4dd5
hex52081e848

22020221000 has 128 divisors (see below), whose sum is σ = 54385344000. Its totient is φ = 8322048000.

The previous prime is 22020220997. The next prime is 22020221029. The reversal of 22020221000 is 12202022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8187656 + ... + 8190344.

It is an arithmetic number, because the mean of its divisors is an integer number (424885500).

Almost surely, 222020221000 is an apocalyptic number.

22020221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22020221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27192672000).

22020221000 is an abundant number, since it is smaller than the sum of its proper divisors (32365123000).

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

22020221000 is a wasteful number, since it uses less digits than its factorization.

22020221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22020221000 its reverse (12202022), we get a palindrome (22032423022).

It can be divided in two parts, 2202022 and 1000, that added together give a palindrome (2203022).

The spelling of 22020221000 in words is "twenty-two billion, twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 431 475 500 760 862 950 1000 1724 1900 2155 2375 2689 3448 3800 4310 4750 5378 8189 8620 9500 10756 10775 13445 16378 17240 19000 21512 21550 26890 32756 40945 43100 51091 53780 53875 65512 67225 81890 86200 102182 107560 107750 134450 163780 204364 204725 215500 255455 268900 327560 336125 408728 409450 431000 510910 537800 672250 818900 1021820 1023625 1158959 1277275 1344500 1637800 2043640 2047250 2317918 2554550 2689000 4094500 4635836 5109100 5794795 6386375 8189000 9271672 10218200 11589590 12772750 22020221 23179180 25545500 28973975 44040442 46358360 51091000 57947950 88080884 110101105 115895900 144869875 176161768 220202210 231791800 289739750 440404420 550505525 579479500 880808840 1101011050 1158959000 2202022100 2752527625 4404044200 5505055250 11010110500 22020221000