Search a number
-
+
228863948985 = 33572137113329
BaseRepresentation
bin1101010100100101011…
…0101011100010111001
3210212201220220012212000
43111021112223202321
512222203132331420
6253045540411213
722351314316530
oct3251126534271
9725656805760
10228863948985
11890738072a1
12384320a6b09
1318774220329
14b1116c5317
155e47495690
hex35495ab8b9

228863948985 has 64 divisors (see below), whose sum is σ = 465215116800. Its totient is φ = 104573638656.

The previous prime is 228863948923. The next prime is 228863948987. The reversal of 228863948985 is 589849368822.

228863948985 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 63 + 9 + 489 + 85 = 666.

It is not a de Polignac number, because 228863948985 - 29 = 228863948473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (228863948987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962801 + ... + 2076129.

It is an arithmetic number, because the mean of its divisors is an integer number (7268986200).

Almost surely, 2228863948985 is an apocalyptic number.

It is an amenable number.

228863948985 is an abundant number, since it is smaller than the sum of its proper divisors (236351167815).

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

228863948985 is a wasteful number, since it uses less digits than its factorization.

228863948985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115487 (or 115481 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 228863948985 in words is "two hundred twenty-eight billion, eight hundred sixty-three million, nine hundred forty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2137 6411 10685 14959 19233 32055 44877 57699 74795 96165 113329 134631 224385 288495 339987 403893 566645 673155 793303 1019961 1699935 2019465 2379909 3059883 3966515 5099805 7139727 11899545 15299415 21419181 35698635 107095905 242184073 726552219 1210920365 1695288511 2179656657 3632761095 5085865533 6538969971 8476442555 10898283285 15257596599 25429327665 32694849855 45772789797 76287982995 228863948985