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228909384 = 233211389743
BaseRepresentation
bin11011010010011…
…10000101001000
3120221201210122100
431221032011020
5432100100014
634414153400
75446461204
oct1551160510
9527653570
10228909384
11108239010
12647b2860
1338569a52
1422589b04
151516a009
hexda4e148

228909384 has 96 divisors (see below), whose sum is σ = 678974400. Its totient is φ = 69095040.

The previous prime is 228909377. The next prime is 228909391. The reversal of 228909384 is 483909822.

It is an interprime number because it is at equal distance from previous prime (228909377) and next prime (228909391).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307717 + ... + 308459.

It is an arithmetic number, because the mean of its divisors is an integer number (7072650).

Almost surely, 2228909384 is an apocalyptic number.

228909384 is a gapful number since it is divisible by the number (24) 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 228909384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339487200).

228909384 is an abundant number, since it is smaller than the sum of its proper divisors (450065016).

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

228909384 is a wasteful number, since it uses less digits than its factorization.

228909384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 228909384 is about 15129.7516172606. The cubic root of 228909384 is about 611.7226091363.

The spelling of 228909384 in words is "two hundred twenty-eight million, nine hundred nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 389 396 743 778 792 1167 1486 1556 2229 2334 2972 3112 3501 4279 4458 4668 5944 6687 7002 8173 8558 8916 9336 12837 13374 14004 16346 17116 17832 24519 25674 26748 28008 32692 34232 38511 49038 51348 53496 65384 73557 77022 98076 102696 147114 154044 196152 289027 294228 308088 578054 588456 867081 1156108 1734162 2312216 2601243 3179297 3468324 5202486 6358594 6936648 9537891 10404972 12717188 19075782 20809944 25434376 28613673 38151564 57227346 76303128 114454692 228909384