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20221000020 = 22325138641453
BaseRepresentation
bin10010110101010000…
…111111100101010100
31221012020101020021200
4102311100333211110
5312403034000040
613142302112500
71314044443554
oct226520774524
957166336250
1020221000020
118637255671
123b03b7b730
131ba3405590
14d9b7b3164
157d5372630
hex4b543f954

20221000020 has 72 divisors (see below), whose sum is σ = 66055274376. Its totient is φ = 4977476352.

The previous prime is 20220999973. The next prime is 20221000061. The reversal of 20221000020 is 2000012202.

It can be written as a sum of positive squares in 4 ways, for example, as 2385931716 + 17835068304 = 48846^2 + 133548^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20220999966 and 20221000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4318387 + ... + 4323066.

Almost surely, 220221000020 is an apocalyptic number.

20221000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221000020 is an abundant number, since it is smaller than the sum of its proper divisors (45834274356).

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

20221000020 is a wasteful number, since it uses less digits than its factorization.

20221000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8641481 (or 8641476 counting only the distinct ones).

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

Adding to 20221000020 its reverse (2000012202), we get a palindrome (22221012222).

The spelling of 20221000020 in words is "twenty billion, two hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 8641453 17282906 25924359 34565812 43207265 51848718 77773077 86414530 103697436 112338889 129621795 155546154 172829060 224677778 259243590 311092308 337016667 388865385 449355556 518487180 561694445 674033334 777730770 1011050001 1123388890 1348066668 1555461540 1685083335 2022100002 2246777780 3370166670 4044200004 5055250005 6740333340 10110500010 20221000020