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245227163940 = 2232511413020783
BaseRepresentation
bin1110010001100010101…
…1011001000100100100
3212102222022011122220100
43210120223121010210
513004211123221230
6304353353104100
723500646333553
oct3443053310444
9772868148810
10245227163940
1195000382940
123b63a0b8030
131a181308745
14bc249a3d9a
1565a3cd5660
hex3918ad9124

245227163940 has 144 divisors (see below), whose sum is σ = 831271424256. Its totient is φ = 57999014400.

The previous prime is 245227163927. The next prime is 245227163957. The reversal of 245227163940 is 49361722542.

245227163940 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 2 + 7 + 1 + 639 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1429212 + ... + 1591571.

It is an arithmetic number, because the mean of its divisors is an integer number (5772718224).

Almost surely, 2245227163940 is an apocalyptic number.

245227163940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245227163940 is an abundant number, since it is smaller than the sum of its proper divisors (586044260316).

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

245227163940 is a wasteful number, since it uses less digits than its factorization.

245227163940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020850 (or 3020845 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 245227163940 in words is "two hundred forty-five billion, two hundred twenty-seven million, one hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4510 5412 6765 7380 8118 9020 13530 16236 20295 27060 40590 81180 3020783 6041566 9062349 12083132 15103915 18124698 27187047 30207830 33228613 36249396 45311745 54374094 60415660 66457226 90623490 99685839 108748188 123852103 132914452 135935235 166143065 181246980 199371678 247704206 271870470 299057517 332286130 371556309 398743356 495408412 498429195 543740940 598115034 619260515 664572260 743112618 996858390 1114668927 1196230068 1238521030 1362373133 1486225236 1495287585 1857781545 1993716780 2229337854 2477042060 2724746266 2990575170 3715563090 4087119399 4458675708 5449492532 5573344635 5981150340 6811865665 7431126180 8174238798 11146689270 12261358197 13623731330 16348477596 20435596995 22293378540 24522716394 27247462660 40871193990 49045432788 61306790985 81742387980 122613581970 245227163940