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84397222144 = 286722712
BaseRepresentation
bin100111010011001110…
…1110110100100000000
322001211210021002210101
41032212131312210000
52340321142102034
6102434353212144
76045304360144
oct1164635664400
9261753232711
1084397222144
113287a039174
1214434561054
137c60134601
144128b6d224
1522de559514
hex13a6776900

84397222144 has 81 divisors (see below), whose sum is σ = 171650082051. Its totient is φ = 41415390720.

The previous prime is 84397222139. The next prime is 84397222181. The reversal of 84397222144 is 44122279348.

The square root of 84397222144 is 290512.

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

It is a super-2 number, since 2×843972221442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84397222094 and 84397222103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 311428729 + ... + 311428999.

Almost surely, 284397222144 is an apocalyptic number.

84397222144 is the 290512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84397222144

84397222144 is an abundant number, since it is smaller than the sum of its proper divisors (87252859907).

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

84397222144 is an frugal number, since it uses more digits than its factorization.

84397222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 340 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The spelling of 84397222144 in words is "eighty-four billion, three hundred ninety-seven million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 271 536 542 1072 1084 2144 2168 4288 4336 4489 8576 8672 8978 17152 17344 17956 18157 34688 35912 36314 69376 71824 72628 73441 143648 145256 146882 287296 290512 293764 574592 581024 587528 1149184 1162048 1175056 1216519 2324096 2350112 2433038 4648192 4700224 4866076 4920547 9400448 9732152 9841094 18800896 19464304 19682188 38928608 39364376 77857216 78728752 155714432 157457504 311428864 314915008 329676649 629830016 659353298 1259660032 1318706596 2637413192 5274826384 10549652768 21099305536 42198611072 84397222144