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4223004 = 22317127163
BaseRepresentation
bin10000000111000000011100
321221112212120
4100013000130
52040114004
6230302540
750615652
oct20070034
97845776
104223004
112424895
1214b7a50
13b4b226
147bcdd2
155863d9
hex40701c

4223004 has 48 divisors (see below), whose sum is σ = 10579968. Its totient is φ = 1306368.

The previous prime is 4223003. The next prime is 4223027. The reversal of 4223004 is 4003224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25827 + ... + 25989.

It is an arithmetic number, because the mean of its divisors is an integer number (220416).

Almost surely, 24223004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289984).

4223004 is an abundant number, since it is smaller than the sum of its proper divisors (6356964).

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

4223004 is a wasteful number, since it uses less digits than its factorization.

4223004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4223004 is about 2054.9948905046. The cubic root of 4223004 is about 161.6368944124.

Adding to 4223004 its reverse (4003224), we get a palindrome (8226228).

The spelling of 4223004 in words is "four million, two hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 127 163 204 254 326 381 489 508 652 762 978 1524 1956 2159 2771 4318 5542 6477 8313 8636 11084 12954 16626 20701 25908 33252 41402 62103 82804 124206 248412 351917 703834 1055751 1407668 2111502 4223004