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225511751300 = 2252111398571721
BaseRepresentation
bin1101001000000110001…
…1000011111010000100
3210120002022010221010012
43102001203003322010
512143322002020200
6251333151245352
722202251154453
oct3220143037204
9716068127105
10225511751300
1187703560590
1237857519858
131835b8934c4
14acb43dcb9a
155ced031a35
hex34818c3e84

225511751300 has 144 divisors (see below), whose sum is σ = 538628650560. Its totient is φ = 81272064000.

The previous prime is 225511751293. The next prime is 225511751321. The reversal of 225511751300 is 3157115522.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131034440 + ... + 131036160.

It is an arithmetic number, because the mean of its divisors is an integer number (3740476740).

Almost surely, 2225511751300 is an apocalyptic number.

225511751300 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 225511751300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269314325280).

225511751300 is an abundant number, since it is smaller than the sum of its proper divisors (313116899260).

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

225511751300 is a wasteful number, since it uses less digits than its factorization.

225511751300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

Adding to 225511751300 its reverse (3157115522), we get a palindrome (228668866822).

The spelling of 225511751300 in words is "two hundred twenty-five billion, five hundred eleven million, seven hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 275 278 550 556 695 857 1100 1390 1529 1714 1721 2780 3058 3428 3442 3475 4285 6116 6884 6950 7645 8570 8605 9427 13900 15290 17140 17210 18854 18931 21425 30580 34420 37708 37862 38225 42850 43025 47135 75724 76450 85700 86050 94270 94655 119123 152900 172100 188540 189310 235675 238246 239219 378620 471350 473275 476492 478438 595615 942700 946550 956876 1191230 1196095 1310353 1474897 1893100 2382460 2392190 2620706 2631409 2949794 2978075 4784380 5241412 5262818 5899588 5956150 5980475 6551765 7374485 10525636 11912300 11960950 13103530 13157045 14748970 16223867 23921900 26207060 26314090 29497940 32447734 32758825 36872425 52628180 64895468 65517650 65785225 73744850 81119335 131035300 131570450 147489700 162238670 205010683 263140900 324477340 405596675 410021366 811193350 820042732 1025053415 1622386700 2050106830 2255117513 4100213660 4510235026 5125267075 9020470052 10250534150 11275587565 20501068300 22551175130 45102350260 56377937825 112755875650 225511751300