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228008004 = 223713719813
BaseRepresentation
bin11011001011100…
…10000001000100
3120220001000011220
431211302001010
5431332224004
634343000340
75436015240
oct1545620104
9526030156
10228008004
11107782874
12644390b0
13383126a3
14223d3420
151503cdd9
hexd972044

228008004 has 48 divisors (see below), whose sum is σ = 612490368. Its totient is φ = 64666368.

The previous prime is 228008003. The next prime is 228008021. The reversal of 228008004 is 400800822.

It is not an unprimeable number, because it can be changed into a prime (228008003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602 + ... + 21414.

It is an arithmetic number, because the mean of its divisors is an integer number (12760216).

Almost surely, 2228008004 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 228008004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306245184).

228008004 is an abundant number, since it is smaller than the sum of its proper divisors (384482364).

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

228008004 is a wasteful number, since it uses less digits than its factorization.

228008004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19964 (or 19962 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 228008004 is about 15099.9339071401. The cubic root of 228008004 is about 610.9186230813.

Adding to 228008004 its reverse (400800822), we get a palindrome (628808826).

The spelling of 228008004 in words is "two hundred twenty-eight million, eight thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3836 5754 11508 19813 39626 59439 79252 118878 138691 237756 277382 416073 554764 832146 1664292 2714381 5428762 8143143 10857524 16286286 19000667 32572572 38001334 57002001 76002668 114004002 228008004