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2197314087556 = 227211329372
BaseRepresentation
bin11111111110011010001…
…000000010101010000100
321210001122121010001020211
4133332122020002222010
5242000044401300211
64401233202405204
7314515330401400
oct37763210025204
97701577101224
102197314087556
1177796a578235
122b5a30060804
1312c28a290033
14784c9d68100
153c255750e21
hex1ff9a202a84

2197314087556 has 81 divisors (see below), whose sum is σ = 4517860593519. Its totient is φ = 932376227328.

The previous prime is 2197314087509. The next prime is 2197314087571. The reversal of 2197314087556 is 6557804137912.

The square root of 2197314087556 is 1482334.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1917853837956 + 279460249600 = 1384866^2 + 528640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2197314087556.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2345051920 + ... + 2345052856.

It is a 1-persistent number, because it is pandigital, but 2⋅2197314087556 = 4394628175112 is not.

Almost surely, 22197314087556 is an apocalyptic number.

2197314087556 is the 1482334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2197314087556

2197314087556 is an abundant number, since it is smaller than the sum of its proper divisors (2320546505963).

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

2197314087556 is an frugal number, since it uses more digits than its factorization.

2197314087556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 2197314087556 in words is "two trillion, one hundred ninety-seven billion, three hundred fourteen million, eighty-seven thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 937 1582 1874 3164 3748 5537 6559 11074 12769 13118 22148 25538 26236 45913 51076 89383 91826 105881 178766 183652 211762 357532 423524 625681 741167 877969 1251362 1482334 1755938 2502724 2964668 3511876 5188169 6145783 10376338 11964553 12291566 20752676 23929106 24583132 43020481 47858212 83751871 86040962 99210497 167503742 172081924 198420994 335007484 396841988 586263097 694473479 1172526194 1388946958 2345052388 2777893916 4861314353 9722628706 11210786161 19445257412 22421572322 44843144644 78475503127 156951006254 313902012508 549328521889 1098657043778 2197314087556