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314697216230200 = 235231291371742033
BaseRepresentation
bin100011110001101110010011…
…1110010010000001100111000
31112021020202112002012210002101
41013203130213302100030320
5312221444344323331300
63033145523314513144
7123200060246254216
oct10743344762201470
91467222462183071
10314697216230200
11912aa381471301
122b366518b957b4
1310679a87b5c01b
14579d5d85abcb6
15265aee4233b6a
hex11e3727c90338

314697216230200 has 96 divisors (see below), whose sum is σ = 755299673976960. Its totient is φ = 121814026444800.

The previous prime is 314697216230197. The next prime is 314697216230207. The reversal of 314697216230200 is 2032612796413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314697216230207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179778384 + ... + 181520416.

It is an arithmetic number, because the mean of its divisors is an integer number (7867704937260).

Almost surely, 2314697216230200 is an apocalyptic number.

It is an amenable number.

314697216230200 is an abundant number, since it is smaller than the sum of its proper divisors (440602457746760).

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

314697216230200 is a wasteful number, since it uses less digits than its factorization.

314697216230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771217 (or 1771208 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 314697216230200 in words is "three hundred fourteen trillion, six hundred ninety-seven billion, two hundred sixteen million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 29137 58274 116548 145685 233096 291370 582740 728425 903247 1165480 1456850 1742033 1806494 2913700 3484066 3612988 4516235 5827400 6968132 7225976 8710165 9032470 13936264 17420330 18064940 22581175 34840660 36129880 43550825 45162350 54003023 69681320 87101650 90324700 108006046 174203300 180649400 216012092 270015115 348406600 432024184 540030230 1080060460 1350075575 2160120920 2700151150 5400302300 10800604600 50757615521 101515231042 203030462084 253788077605 406060924168 507576155210 1015152310420 1268940388025 1573486081151 2030304620840 2537880776050 3146972162302 5075761552100 6293944324604 7867430405755 10151523104200 12587888649208 15734860811510 31469721623020 39337152028775 62939443246040 78674304057550 157348608115100 314697216230200