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228824838 = 23511231861
BaseRepresentation
bin11011010001110…
…01011100000110
3120221120111200000
431220321130012
5432034343323
634412302130
75445656544
oct1550713406
9527514600
10228824838
11108190540
1264771946
133853a418
1422566d94
151514ee43
hexda39706

228824838 has 96 divisors (see below), whose sum is σ = 585591552. Its totient is φ = 66290400.

The previous prime is 228824753. The next prime is 228824839. The reversal of 228824838 is 838428822.

It is a happy number.

228824838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 228824793 and 228824802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228824839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122028 + ... + 123888.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2228824838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228824838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292795776).

228824838 is an abundant number, since it is smaller than the sum of its proper divisors (356766714).

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

228824838 is a wasteful number, since it uses less digits than its factorization.

228824838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1900 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 228824838 is about 15126.9573278964. The cubic root of 228824838 is about 611.6472881113.

The spelling of 228824838 in words is "two hundred twenty-eight million, eight hundred twenty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 243 253 297 414 486 506 594 621 759 891 1242 1518 1782 1861 1863 2277 2673 3722 3726 4554 5346 5583 5589 6831 11166 11178 13662 16749 20471 20493 33498 40942 40986 42803 50247 61413 61479 85606 100494 122826 122958 128409 150741 184239 256818 301482 368478 385227 452223 470833 552717 770454 904446 941666 1105434 1155681 1412499 1658151 2311362 2824998 3316302 3467043 4237497 4974453 6934086 8474994 9948906 10401129 12712491 20802258 25424982 38137473 76274946 114412419 228824838