Search a number
-
+
230155102320400 = 2452575387755801
BaseRepresentation
bin110100010101001100101001…
…000111011111011100010000
31010011220121112210201001200201
4310111030221013133130100
5220131330122143223100
62133255443325424544
766323104664000665
oct6425145107373420
91104817483631621
10230155102320400
116737525a146374
122199172610b154
139b566c1082b7a
1440b97d0259a6c
151b91ce086136a
hexd153291df710

230155102320400 has 30 divisors (see below), whose sum is σ = 552947633325722. Its totient is φ = 92062040928000.

The previous prime is 230155102320373. The next prime is 230155102320413. The reversal of 230155102320400 is 4023201551032.

It can be written as a sum of positive squares in 3 ways, for example, as 15153175573264 + 215001926747136 = 3892708^2 + 14662944^2 .

It is a super-2 number, since 2×2301551023204002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 287693877501 + ... + 287693878300.

Almost surely, 2230155102320400 is an apocalyptic number.

230155102320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230155102320400 is an abundant number, since it is smaller than the sum of its proper divisors (322792531005322).

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

230155102320400 is a wasteful number, since it uses less digits than its factorization.

230155102320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575387755819 (or 575387755808 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 230155102320400 its reverse (4023201551032), we get a palindrome (234178303871432).

The spelling of 230155102320400 in words is "two hundred thirty trillion, one hundred fifty-five billion, one hundred two million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 575387755801 1150775511602 2301551023204 2876938779005 4603102046408 5753877558010 9206204092816 11507755116020 14384693895025 23015510232040 28769387790050 46031020464080 57538775580100 115077551160200 230155102320400