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228944268 = 22327318541
BaseRepresentation
bin11011010010101…
…10100110001100
3120221210120111100
431221112212030
5432102204033
634415023100
75446665000
oct1551264614
9527716440
10228944268
11108262243
126480aa90
133857c8a7
1422598700
1515175513
hexda5698c

228944268 has 72 divisors (see below), whose sum is σ = 674928800. Its totient is φ = 65409120.

The previous prime is 228944263. The next prime is 228944327. The reversal of 228944268 is 862449822.

228944268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228944263) 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, 3078 + ... + 21618.

Almost surely, 2228944268 is an apocalyptic number.

228944268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228944268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337464400).

228944268 is an abundant number, since it is smaller than the sum of its proper divisors (445984532).

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

228944268 is a wasteful number, since it uses less digits than its factorization.

228944268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18572 (or 18553 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 228944268 is about 15130.9044012577. The cubic root of 228944268 is about 611.7536814719.

The spelling of 228944268 in words is "two hundred twenty-eight million, nine hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 18541 37082 55623 74164 111246 129787 166869 222492 259574 333738 389361 519148 667476 778722 908509 1168083 1557444 1817018 2336166 2725527 3634036 4672332 5451054 6359563 8176581 10902108 12719126 16353162 19078689 25438252 32706324 38157378 57236067 76314756 114472134 228944268