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235251220 = 225101116461
BaseRepresentation
bin11100000010110…
…10011000010100
3121101200000000011
432001122120110
5440211014340
635202130004
75554413421
oct1601323024
9541600004
10235251220
1111087a7a6
1266950904
133997a509
142335ad48
15159be0ea
hexe05a614

235251220 has 24 divisors (see below), whose sum is σ = 498923208. Its totient is φ = 93168000.

The previous prime is 235251169. The next prime is 235251227. The reversal of 235251220 is 22152532.

It can be written as a sum of positive squares in 4 ways, for example, as 26853124 + 208398096 = 5182^2 + 14436^2 .

It is a super-2 number, since 2×2352512202 = 110686273022976800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 235251191 and 235251200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235251227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56211 + ... + 60250.

It is an arithmetic number, because the mean of its divisors is an integer number (20788467).

Almost surely, 2235251220 is an apocalyptic number.

235251220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235251220 is an abundant number, since it is smaller than the sum of its proper divisors (263671988).

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

235251220 is a wasteful number, since it uses less digits than its factorization.

235251220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116571 (or 116569 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 235251220 is about 15337.9014209898. The cubic root of 235251220 is about 617.3203988487.

It can be divided in two parts, 2352512 and 20, that added together give a palindrome (2352532).

The spelling of 235251220 in words is "two hundred thirty-five million, two hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 116461 232922 465844 582305 1164610 2329220 11762561 23525122 47050244 58812805 117625610 235251220