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228588058952 = 231161272
BaseRepresentation
bin1101010011100011101…
…0001111100101001000
3210212000200202112212122
43110320322033211020
512221122020341302
6253002323230412
722341424304441
oct3247072174510
9725020675778
10228588058952
1188a42000000
1238375818408
131872c0145a6
14b0c6bca2c8
155e2d14a3a2
hex3538e8f948

228588058952 has 84 divisors (see below), whose sum is σ = 475204384035. Its totient is φ = 103085524080.

The previous prime is 228588058913. The next prime is 228588058967. The reversal of 228588058952 is 259850885822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

228588058952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 114294029476 + 114294029476 = 338074^2 + 338074^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338074.

It is a Duffinian 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 20 ways as a sum of consecutive naturals, for example, 1799905913 + ... + 1799906039.

Almost surely, 2228588058952 is an apocalyptic number.

228588058952 is a gapful number since it is divisible by the number (22) 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 228588058952

228588058952 is an abundant number, since it is smaller than the sum of its proper divisors (246616325083).

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

228588058952 is an frugal number, since it uses more digits than its factorization.

228588058952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 62.

The spelling of 228588058952 in words is "two hundred twenty-eight billion, five hundred eighty-eight million, fifty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 121 127 242 254 484 508 968 1016 1331 1397 2662 2794 5324 5588 10648 11176 14641 15367 16129 29282 30734 32258 58564 61468 64516 117128 122936 129032 161051 169037 177419 322102 338074 354838 644204 676148 709676 1288408 1352296 1419352 1771561 1859407 1951609 3543122 3718814 3903218 7086244 7437628 7806436 14172488 14875256 15612872 20453477 21467699 40906954 42935398 81813908 85870796 163627816 171741592 224988247 236144689 449976494 472289378 899952988 944578756 1799905976 1889157512 2597591579 5195183158 10390366316 20780732632 28573507369 57147014738 114294029476 228588058952