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4228950 = 2352112233
BaseRepresentation
bin10000001000011101010110
321221212000210
4100020131112
52040311300
6230350250
750642205
oct20103526
97855023
104228950
112429300
1214bb386
13b50b4b
147c123c
15588050
hex408756

4228950 has 72 divisors (see below), whose sum is σ = 11577384. Its totient is φ = 1020800.

The previous prime is 4228907. The next prime is 4228951. The reversal of 4228950 is 598224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 411 + 29 + 215 + 83 + 93 + 53 + 0 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18034 + ... + 18266.

It is an arithmetic number, because the mean of its divisors is an integer number (160797).

Almost surely, 24228950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4228950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788692).

4228950 is an abundant number, since it is smaller than the sum of its proper divisors (7348434).

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

4228950 is a wasteful number, since it uses less digits than its factorization.

4228950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4228950 is about 2056.4411005424. The cubic root of 4228950 is about 161.7127205505.

The spelling of 4228950 in words is "four million, two hundred twenty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 233 242 275 330 363 466 550 605 699 726 825 1165 1210 1398 1650 1815 2330 2563 3025 3495 3630 5126 5825 6050 6990 7689 9075 11650 12815 15378 17475 18150 25630 28193 34950 38445 56386 64075 76890 84579 128150 140965 169158 192225 281930 384450 422895 704825 845790 1409650 2114475 4228950