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20224024240 = 245736114329
BaseRepresentation
bin10010110101011100…
…100001111010110000
31221012110001212201211
4102311130201322300
5312404322233430
613142451005504
71314112240540
oct226534417260
957173055654
1020224024240
118638a30822
123b04b99894
131ba3c23c64
14d9bd5d320
157d576d72a
hex4b5721eb0

20224024240 has 40 divisors (see below), whose sum is σ = 53738123040. Its totient is φ = 6933950976.

The previous prime is 20224024231. The next prime is 20224024267. The reversal of 20224024240 is 4242042202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×202240242402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18056605 + ... + 18057724.

It is an arithmetic number, because the mean of its divisors is an integer number (1343453076).

Almost surely, 220224024240 is an apocalyptic number.

20224024240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20224024240 is an abundant number, since it is smaller than the sum of its proper divisors (33514098800).

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

20224024240 is a wasteful number, since it uses less digits than its factorization.

20224024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36114349 (or 36114343 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 20224024240 its reverse (4242042202), we get a palindrome (24466066442).

The spelling of 20224024240 in words is "twenty billion, two hundred twenty-four million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 36114329 72228658 144457316 180571645 252800303 288914632 361143290 505600606 577829264 722286580 1011201212 1264001515 1444573160 2022402424 2528003030 2889146320 4044804848 5056006060 10112012120 20224024240