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228642100 = 225213271723
BaseRepresentation
bin11011010000011…
…00110100110100
3120221020012222221
431220030310310
5432013021400
634404332124
75444266021
oct1550146464
9527205887
10228642100
11108076215
12646a4044
13384a51ab
142251a548
1515115c1a
hexda0cd34

228642100 has 36 divisors (see below), whose sum is σ = 496815424. Its totient is φ = 91334880.

The previous prime is 228642097. The next prime is 228642107. The reversal of 228642100 is 1246822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228642107) by changing a digit.

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, 131839 + ... + 133561.

Almost surely, 2228642100 is an apocalyptic number.

228642100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228642100 is an abundant number, since it is smaller than the sum of its proper divisors (268173324).

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

228642100 is a wasteful number, since it uses less digits than its factorization.

228642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 228642100 is about 15120.9159775458. The cubic root of 228642100 is about 611.4844255923.

Adding to 228642100 its reverse (1246822), we get a palindrome (229888922).

It can be divided in two parts, 22864 and 2100, that added together give a square (24964 = 1582).

The spelling of 228642100 in words is "two hundred twenty-eight million, six hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1327 1723 2654 3446 5308 6635 6892 8615 13270 17230 26540 33175 34460 43075 66350 86150 132700 172300 2286421 4572842 9145684 11432105 22864210 45728420 57160525 114321050 228642100