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228901872 = 24317229569
BaseRepresentation
bin11011010010011…
…00001111110000
3120221201102100010
431221030033300
5432044324442
634414054520
75446430253
oct1551141760
9527642303
10228901872
11108233401
12647aa440
13385664c4
142258709a
1515167b9c
hexda4c3f0

228901872 has 120 divisors (see below), whose sum is σ = 650962800. Its totient is φ = 69214208.

The previous prime is 228901847. The next prime is 228901877. The reversal of 228901872 is 278109822.

228901872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 228901872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228901877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402004 + ... + 402572.

It is an arithmetic number, because the mean of its divisors is an integer number (5424690).

Almost surely, 2228901872 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 228901872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325481400).

228901872 is an abundant number, since it is smaller than the sum of its proper divisors (422060928).

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

228901872 is a wasteful number, since it uses less digits than its factorization.

228901872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 228901872 is about 15129.5033626355. The cubic root of 228901872 is about 611.7159175357.

The spelling of 228901872 in words is "two hundred twenty-eight million, nine hundred one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 289 348 408 464 493 569 578 696 816 867 986 1138 1156 1392 1479 1707 1734 1972 2276 2312 2958 3414 3468 3944 4552 4624 5916 6828 6936 7888 8381 9104 9673 11832 13656 13872 16501 16762 19346 23664 25143 27312 29019 33002 33524 38692 49503 50286 58038 66004 67048 77384 99006 100572 116076 132008 134096 154768 164441 198012 201144 232152 264016 280517 328882 396024 402288 464304 493323 561034 657764 792048 841551 986646 1122068 1315528 1683102 1973292 2244136 2631056 3366204 3946584 4488272 4768789 6732408 7893168 9537578 13464816 14306367 19075156 28612734 38150312 57225468 76300624 114450936 228901872