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228950766144 = 2632199372
BaseRepresentation
bin1101010100111010000…
…1110111001001000000
3210212221222020222121100
43111032201313021000
512222342344004034
6253102321254400
722353420255012
oct3251641671100
9725858228540
10228950766144
1189108814311
1238457194400
13187891c9629
14b11d0441b2
155e4ede4099
hex354e877240

228950766144 has 63 divisors (see below), whose sum is σ = 656278950457. Its totient is φ = 76313094144.

The previous prime is 228950766133. The next prime is 228950766173. The reversal of 228950766144 is 441667059822.

The square root of 228950766144 is 478488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40497537600 + 188453228544 = 201240^2 + 434112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11473744 + ... + 11493680.

Almost surely, 2228950766144 is an apocalyptic number.

228950766144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

228950766144 is the 478488-th square number.

It is an amenable number.

228950766144 is an abundant number, since it is smaller than the sum of its proper divisors (427328184313).

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

228950766144 is an frugal number, since it uses more digits than its factorization.

228950766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39892 (or 19942 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 228950766144 in words is "two hundred twenty-eight billion, nine hundred fifty million, seven hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 19937 39874 59811 79748 119622 159496 179433 239244 318992 358866 478488 637984 717732 956976 1275968 1435464 1913952 2870928 3827904 5741856 11483712 397483969 794967938 1192451907 1589935876 2384903814 3179871752 3577355721 4769807628 6359743504 7154711442 9539615256 12719487008 14309422884 19079230512 25438974016 28618845768 38158461024 57237691536 76316922048 114475383072 228950766144