Search a number
-
+
20322302040 = 23325367153817
BaseRepresentation
bin10010111011010011…
…011011100001011000
31221110021222220112100
4102323103123201120
5313110002131130
613200321243400
71316414500665
oct227323334130
957407886470
1020322302040
118689456347
123b31a93560
131bbb3b38c1
14dab022a6c
157de1d2c60
hex4bb4db858

20322302040 has 96 divisors (see below), whose sum is σ = 66227878080. Its totient is φ = 5404478976.

The previous prime is 20322302003. The next prime is 20322302041. The reversal of 20322302040 is 4020322302.

20322302040 is a `hidden beast` number, since 2 + 0 + 322 + 302 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322302041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55212 + ... + 209028.

It is an arithmetic number, because the mean of its divisors is an integer number (689873730).

Almost surely, 220322302040 is an apocalyptic number.

20322302040 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 20322302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33113939040).

20322302040 is an abundant number, since it is smaller than the sum of its proper divisors (45905576040).

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

20322302040 is a wasteful number, since it uses less digits than its factorization.

20322302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154201 (or 154194 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20322302040 its reverse (4020322302), we get a palindrome (24342624342).

The spelling of 20322302040 in words is "twenty billion, three hundred twenty-two million, three hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 367 734 1101 1468 1835 2202 2936 3303 3670 4404 5505 6606 7340 8808 11010 13212 14680 16515 22020 26424 33030 44040 66060 132120 153817 307634 461451 615268 769085 922902 1230536 1384353 1538170 1845804 2307255 2768706 3076340 3691608 4614510 5537412 6152680 6921765 9229020 11074824 13843530 18458040 27687060 55374120 56450839 112901678 169352517 225803356 282254195 338705034 451606712 508057551 564508390 677410068 846762585 1016115102 1129016780 1354820136 1693525170 2032230204 2258033560 2540287755 3387050340 4064460408 5080575510 6774100680 10161151020 20322302040