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203228625800 = 235212722512
BaseRepresentation
bin1011110101000101011…
…1101011101110001000
3201102120100111212110202
42331101113223232020
511312203012011200
6233210102431332
720453123550134
oct2752127535610
9642510455422
10203228625800
1179209296592
1233478a32548
131621a1a1345
149b9cbdc3c4
155446b291d5
hex2f515ebb88

203228625800 has 108 divisors (see below), whose sum is σ = 478161369765. Its totient is φ = 80330040000.

The previous prime is 203228625779. The next prime is 203228625823. The reversal of 203228625800 is 8526822302.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 199164053284 + 4064572516 = 446278^2 + 63754^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=318770.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 809675675 + ... + 809675925.

Almost surely, 2203228625800 is an apocalyptic number.

203228625800 is a gapful number since it is divisible by the number (20) 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 203228625800

203228625800 is an abundant number, since it is smaller than the sum of its proper divisors (274932743965).

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

203228625800 is an equidigital number, since it uses as much as digits as its factorization.

203228625800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 203228625800 in words is "two hundred three billion, two hundred twenty-eight million, six hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 251 254 502 508 635 1004 1016 1255 1270 2008 2510 2540 3175 5020 5080 6275 6350 10040 12550 12700 16129 25100 25400 31877 32258 50200 63001 63754 64516 80645 126002 127508 129032 159385 161290 252004 255016 315005 318770 322580 403225 504008 630010 637540 645160 796925 806450 1260020 1275080 1575025 1593850 1612900 2520040 3150050 3187700 3225800 4048379 6300100 6375400 8001127 8096758 12600200 16002254 16193516 20241895 32004508 32387032 40005635 40483790 64009016 80011270 80967580 101209475 160022540 161935160 200028175 202418950 320045080 400056350 404837900 800112700 809675800 1016143129 1600225400 2032286258 4064572516 5080715645 8129145032 10161431290 20322862580 25403578225 40645725160 50807156450 101614312900 203228625800