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228884616 = 2335281419
BaseRepresentation
bin11011010010010…
…00000010001000
3120221200112200000
431221020002020
5432043301431
634413443000
75446326042
oct1551100210
9527615600
10228884616
11108221444
12647a0460
133855b6ac
1422580a92
15151629e6
hexda48088

228884616 has 96 divisors (see below), whose sum is σ = 646682400. Its totient is φ = 75841920.

The previous prime is 228884611. The next prime is 228884629. The reversal of 228884616 is 616488822.

228884616 is a `hidden beast` number, since 2 + 28 + 8 + 8 + 4 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228884611) 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, 546055 + ... + 546473.

It is an arithmetic number, because the mean of its divisors is an integer number (6736275).

Almost surely, 2228884616 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 228884616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323341200).

228884616 is an abundant number, since it is smaller than the sum of its proper divisors (417797784).

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

228884616 is a wasteful number, since it uses less digits than its factorization.

228884616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 705 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 228884616 is about 15128.9330754022. The cubic root of 228884616 is about 611.7005455410.

The spelling of 228884616 in words is "two hundred twenty-eight million, eight hundred eighty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 281 324 419 486 562 648 838 843 972 1124 1257 1676 1686 1944 2248 2514 2529 3352 3372 3771 5028 5058 6744 7542 7587 10056 10116 11313 15084 15174 20232 22626 22761 30168 30348 33939 45252 45522 60696 67878 68283 90504 91044 101817 117739 135756 136566 182088 203634 235478 271512 273132 353217 407268 470956 546264 706434 814536 941912 1059651 1412868 2119302 2825736 3178953 4238604 6357906 8477208 9536859 12715812 19073718 25431624 28610577 38147436 57221154 76294872 114442308 228884616