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228142404 = 223271078461
BaseRepresentation
bin11011001100100…
…10110101000100
3120220021211112200
431212102311010
5431401024104
634345514500
75440115130
oct1546226504
9526254480
10228142404
11107864846
12644a2a30
133835b909
142242a3c0
1515067b39
hexd992d44

228142404 has 72 divisors (see below), whose sum is σ = 665316288. Its totient is φ = 64566720.

The previous prime is 228142403. The next prime is 228142429. The reversal of 228142404 is 404241822.

It is not an unprimeable number, because it can be changed into a prime (228142403) 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 23 ways as a sum of consecutive naturals, for example, 22734 + ... + 31194.

It is an arithmetic number, because the mean of its divisors is an integer number (9240504).

Almost surely, 2228142404 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 228142404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332658144).

228142404 is an abundant number, since it is smaller than the sum of its proper divisors (437173884).

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

228142404 is a wasteful number, since it uses less digits than its factorization.

228142404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 228142404 is about 15104.3836021203. The cubic root of 228142404 is about 611.0386354405.

The spelling of 228142404 in words is "two hundred twenty-eight million, one hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8461 8988 13482 16922 25383 26964 33844 50766 59227 76149 101532 118454 152298 177681 236908 304596 355362 533043 710724 905327 1066086 1810654 2132172 2715981 3621308 5431962 6337289 8147943 10863924 12674578 16295886 19011867 25349156 32591772 38023734 57035601 76047468 114071202 228142404