Search a number
-
+
228161534976 = 2103224757111
BaseRepresentation
bin1101010001111101111…
…1001011110000000000
3210210220222011212222100
43110133133023300000
512214233323104401
6252452125310400
722325025022344
oct3243737136000
9723828155870
10228161534976
1188843269251
1238276a05400
131869184723b
14b0862bd624
155e05997b86
hex351f7cbc00

228161534976 has 66 divisors (see below), whose sum is σ = 658811507432. Its totient is φ = 76053841920.

The previous prime is 228161534963. The next prime is 228161534989. The reversal of 228161534976 is 679435161822.

It is a happy number.

228161534976 is a `hidden beast` number, since 2 + 2 + 8 + 16 + 1 + 534 + 97 + 6 = 666.

228161534976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228161534963) and next prime (228161534989).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12369340 + ... + 12387771.

Almost surely, 2228161534976 is an apocalyptic number.

It is an amenable number.

228161534976 is an abundant number, since it is smaller than the sum of its proper divisors (430649972456).

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

228161534976 is a wasteful number, since it uses less digits than its factorization.

228161534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24757137 (or 24757116 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 228161534976 in words is "two hundred twenty-eight billion, one hundred sixty-one million, five hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 24757111 49514222 74271333 99028444 148542666 198056888 222813999 297085332 396113776 445627998 594170664 792227552 891255996 1188341328 1584455104 1782511992 2376682656 3168910208 3565023984 4753365312 6337820416 7130047968 9506730624 12675640832 14260095936 19013461248 25351281664 28520191872 38026922496 57040383744 76053844992 114080767488 228161534976