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20204422440 = 23356119714011
BaseRepresentation
bin10010110100010001…
…110000010100101000
31221011002012000010020
4102310101300110220
5312334313004230
613140510520440
71313453520456
oct226421602450
957132160106
1020204422440
118628962694
123aba506120
131b9cb4cb67
14d994d99d6
157d3b9a810
hex4b4470528

20204422440 has 128 divisors (see below), whose sum is σ = 61924072320. Its totient is φ = 5272243200.

The previous prime is 20204422421. The next prime is 20204422541. The reversal of 20204422440 is 4422440202.

It is a super-2 number, since 2×202044224402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20204422440.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1435035 + ... + 1449045.

It is an arithmetic number, because the mean of its divisors is an integer number (483781815).

Almost surely, 220204422440 is an apocalyptic number.

20204422440 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 20204422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30962036160).

20204422440 is an abundant number, since it is smaller than the sum of its proper divisors (41719649880).

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

20204422440 is a wasteful number, since it uses less digits than its factorization.

20204422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14283 (or 14279 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20204422440 its reverse (4422440202), we get a palindrome (24626862642).

The spelling of 20204422440 in words is "twenty billion, two hundred four million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 197 244 305 366 394 488 591 610 732 788 915 985 1182 1220 1464 1576 1830 1970 2364 2440 2955 3660 3940 4728 5910 7320 7880 11820 12017 14011 23640 24034 28022 36051 42033 48068 56044 60085 70055 72102 84066 96136 112088 120170 140110 144204 168132 180255 210165 240340 280220 288408 336264 360510 420330 480680 560440 721020 840660 854671 1442040 1681320 1709342 2564013 2760167 3418684 4273355 5128026 5520334 6837368 8280501 8546710 10256052 11040668 12820065 13800835 16561002 17093420 20512104 22081336 25640130 27601670 33122004 34186840 41402505 51280260 55203340 66244008 82805010 102560520 110406680 165610020 168370187 331220040 336740374 505110561 673480748 841850935 1010221122 1346961496 1683701870 2020442244 2525552805 3367403740 4040884488 5051105610 6734807480 10102211220 20204422440