Search a number
-
+
20332023400 = 23521335322153
BaseRepresentation
bin10010111011111000…
…100000111001101000
31221110222021210201201
4102323320200321220
5313114444222100
613201305453544
71316563230103
oct227370407150
957428253651
1020332023400
118693996127
123b351a12b4
131bc04086a0
14dac43373a
157deea336a
hex4bbe20e68

20332023400 has 96 divisors (see below), whose sum is σ = 51054779160. Its totient is φ = 7485603840.

The previous prime is 20332023377. The next prime is 20332023403. The reversal of 20332023400 is 432023302.

It can be written as a sum of positive squares in 12 ways, for example, as 1397712996 + 18934310404 = 37386^2 + 137602^2 .

It is not an unprimeable number, because it can be changed into a prime (20332023403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 906724 + ... + 928876.

Almost surely, 220332023400 is an apocalyptic number.

20332023400 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 20332023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25527389580).

20332023400 is an abundant number, since it is smaller than the sum of its proper divisors (30722755760).

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

20332023400 is a wasteful number, since it uses less digits than its factorization.

20332023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22535 (or 22526 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 20332023400 its reverse (432023302), we get a palindrome (20764046702).

The spelling of 20332023400 in words is "twenty billion, three hundred thirty-two million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 353 520 650 706 1300 1412 1765 2600 2824 3530 4589 7060 8825 9178 14120 17650 18356 22153 22945 35300 36712 44306 45890 70600 88612 91780 110765 114725 177224 183560 221530 229450 287989 443060 458900 553825 575978 886120 917800 1107650 1151956 1439945 2215300 2303912 2879890 4430600 5759780 7199725 7820009 11519560 14399450 15640018 28798900 31280036 39100045 57597800 62560072 78200090 101660117 156400180 195500225 203320234 312800360 391000450 406640468 508300585 782000900 813280936 1016601170 1564001800 2033202340 2541502925 4066404680 5083005850 10166011700 20332023400