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34223100 = 22352114077
BaseRepresentation
bin1000001010001…
…1001111111100
32101101201021020
42002203033330
532230114400
63221304140
7563614542
oct202431774
971351236
1034223100
111835535a
12b565050
137123272
14478bd92
1530102a0
hex20a33fc

34223100 has 36 divisors (see below), whose sum is σ = 99019704. Its totient is φ = 9126080.

The previous prime is 34223099. The next prime is 34223153. The reversal of 34223100 is 132243.

34223100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×342231002 = 2342441147220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34223100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56739 + ... + 57338.

Almost surely, 234223100 is an apocalyptic number.

34223100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34223100 is an abundant number, since it is smaller than the sum of its proper divisors (64796604).

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

34223100 is a wasteful number, since it uses less digits than its factorization.

34223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114094 (or 114087 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34223100 is about 5850.0512818265. The cubic root of 34223100 is about 324.6682215748.

Adding to 34223100 its reverse (132243), we get a palindrome (34355343).

The spelling of 34223100 in words is "thirty-four million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 114077 228154 342231 456308 570385 684462 1140770 1368924 1711155 2281540 2851925 3422310 5703850 6844620 8555775 11407700 17111550 34223100