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20322012040 = 235111014311061
BaseRepresentation
bin10010111011010010…
…010100101110001000
31221110021110011201121
4102323102110232020
5313104413341130
613200311125024
71316412152341
oct227322245610
957407404647
1020322012040
118689278480
123b31973774
131bbb3118c5
14daad890c8
157de176d7a
hex4bb494b88

20322012040 has 128 divisors (see below), whose sum is σ = 50539645440. Its totient is φ = 7292800000.

The previous prime is 20322012031. The next prime is 20322012047. The reversal of 20322012040 is 4021022302.

It is not an unprimeable number, because it can be changed into a prime (20322012047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19153110 + ... + 19154170.

It is an arithmetic number, because the mean of its divisors is an integer number (394840980).

Almost surely, 220322012040 is an apocalyptic number.

20322012040 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 20322012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25269822720).

20322012040 is an abundant number, since it is smaller than the sum of its proper divisors (30217633400).

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

20322012040 is a wasteful number, since it uses less digits than its factorization.

20322012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20322012040 its reverse (4021022302), we get a palindrome (24343034342).

The spelling of 20322012040 in words is "twenty billion, three hundred twenty-two million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 431 440 505 808 862 1010 1061 1111 1724 2020 2122 2155 2222 3448 4040 4244 4310 4444 4741 5305 5555 8488 8620 8888 9482 10610 11110 11671 17240 18964 21220 22220 23342 23705 37928 42440 43531 44440 46684 47410 58355 87062 93368 94820 107161 116710 174124 189640 214322 217655 233420 348248 428644 435310 457291 466840 478841 535805 857288 870620 914582 957682 1071610 1178771 1741240 1829164 1915364 2143220 2286455 2357542 2394205 3658328 3830728 4286440 4572910 4715084 4788410 5030201 5893855 9145820 9430168 9576820 10060402 11787710 18291640 19153640 20120804 23575420 25151005 40241608 46186391 47150840 50302010 92372782 100604020 184745564 201208040 230931955 369491128 461863910 508050301 923727820 1016100602 1847455640 2032201204 2540251505 4064402408 5080503010 10161006020 20322012040