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223100420 = 22511398717
BaseRepresentation
bin11010100110000…
…11111000000100
3120112210200020112
431103003320010
5424103203140
634045452152
75346215354
oct1523037004
9515720215
10223100420
11104a30714
1262871058
13372b49aa
14218b6b64
15148bdc65
hexd4c3e04

223100420 has 24 divisors (see below), whose sum is σ = 472661784. Its totient is φ = 88449536.

The previous prime is 223100359. The next prime is 223100429. The reversal of 223100420 is 24001322.

223100420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26708224 + 196392196 = 5168^2 + 14014^2 .

It is a super-3 number, since 3×2231004203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223100395 and 223100404.

It is not an unprimeable number, because it can be changed into a prime (223100429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47099 + ... + 51618.

It is an arithmetic number, because the mean of its divisors is an integer number (19694241).

Almost surely, 2223100420 is an apocalyptic number.

223100420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223100420 is an abundant number, since it is smaller than the sum of its proper divisors (249561364).

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

223100420 is a wasteful number, since it uses less digits than its factorization.

223100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98839 (or 98837 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 223100420 is about 14936.5464549206. The cubic root of 223100420 is about 606.5037111470.

Adding to 223100420 its reverse (24001322), we get a palindrome (247101742).

The spelling of 223100420 in words is "two hundred twenty-three million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 98717 197434 394868 493585 987170 1974340 11155021 22310042 44620084 55775105 111550210 223100420