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221155062048 = 253630792
BaseRepresentation
bin1100110111110111011…
…1100111000100100000
3210010211200021012000000
43031331313213010200
512110411143441143
6245333000300000
721656300003514
oct3157567470440
9703750235000
10221155062048
11858782a3458
1236a40471600
1317b160b5c7b
14a9bd95a144
155b45800bd3
hex337dde7120

221155062048 has 126 divisors (see below), whose sum is σ = 653012000739. Its totient is φ = 73694411712.

The previous prime is 221155061927. The next prime is 221155062053. The reversal of 221155062048 is 840260551122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221155062048 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 550 + 62 + 0 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110577531024 + 110577531024 = 332532^2 + 332532^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332532.

It is a super-2 number, since 2×2211550620482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 71825373 + ... + 71828451.

Almost surely, 2221155062048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221155062048

221155062048 is an abundant number, since it is smaller than the sum of its proper divisors (431856938691).

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

221155062048 is an frugal number, since it uses more digits than its factorization.

221155062048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 221155062048 in words is "two hundred twenty-one billion, one hundred fifty-five million, sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3079 3888 5832 6158 7776 9237 11664 12316 18474 23328 24632 27711 36948 49264 55422 73896 83133 98528 110844 147792 166266 221688 249399 295584 332532 443376 498798 665064 748197 886752 997596 1330128 1496394 1995192 2244591 2660256 2992788 3990384 4489182 5985576 7980768 8978364 9480241 11971152 17956728 18960482 23942304 28440723 35913456 37920964 56881446 71826912 75841928 85322169 113762892 151683856 170644338 227525784 255966507 303367712 341288676 455051568 511933014 682577352 767899521 910103136 1023866028 1365154704 1535799042 2047732056 2303698563 2730309408 3071598084 4095464112 4607397126 6143196168 6911095689 8190928224 9214794252 12286392336 13822191378 18429588504 24572784672 27644382756 36859177008 55288765512 73718354016 110577531024 221155062048