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20220022240 = 25511101113749
BaseRepresentation
bin10010110101001101…
…010000110111100000
31221012011112120000121
4102311031100313200
5312402311202430
613142225130024
71314033232105
oct226515206740
957164476017
1020220022240
118636747a90
123b03789914
131ba3152502
14d9b5daaac
157d522ca7a
hex4b5350de0

20220022240 has 96 divisors (see below), whose sum is σ = 52628940000. Its totient is φ = 7279872000.

The previous prime is 20220022231. The next prime is 20220022247. The reversal of 20220022240 is 4222002202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220022247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120886 + ... + 234634.

It is an arithmetic number, because the mean of its divisors is an integer number (548218125).

Almost surely, 220220022240 is an apocalyptic number.

20220022240 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 20220022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26314470000).

20220022240 is an abundant number, since it is smaller than the sum of its proper divisors (32408917760).

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

20220022240 is a wasteful number, since it uses less digits than its factorization.

20220022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113876 (or 113868 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20220022240 its reverse (4222002202), we get a palindrome (24442024442).

The spelling of 20220022240 in words is "twenty billion, two hundred twenty million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 16160 17776 22220 35552 44440 88880 113749 177760 227498 454996 568745 909992 1137490 1251239 1819984 2274980 2502478 3639968 4549960 5004956 6256195 9099920 10009912 11488649 12512390 18199840 20019824 22977298 25024780 40039648 45954596 50049560 57443245 91909192 100099120 114886490 126375139 183818384 200198240 229772980 252750278 367636768 459545960 505500556 631875695 919091920 1011001112 1263751390 1838183840 2022002224 2527502780 4044004448 5055005560 10110011120 20220022240