Search a number
-
+
221730050592 = 253630832
BaseRepresentation
bin1100111010000000100…
…1000001001000100000
3210012022202012122000000
43032200021001020200
512113100343104332
6245510020300000
722006451222121
oct3164011011040
9705282178000
10221730050592
11860429188a6
1236b80b41600
1317ba826538b
14aa36072048
155b7b02cb7c
hex33a0241220

221730050592 has 126 divisors (see below), whose sum is σ = 654709512807. Its totient is φ = 73886043456.

The previous prime is 221730050573. The next prime is 221730050593. The reversal of 221730050592 is 295050037122.

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.

221730050592 is a `hidden beast` number, since 2 + 2 + 17 + 3 + 0 + 0 + 50 + 592 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110865025296 + 110865025296 = 332964^2 + 332964^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332964.

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

It is not an unprimeable number, because it can be changed into a prime (221730050593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 71918683 + ... + 71921765.

Almost surely, 2221730050592 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 221730050592

221730050592 is an abundant number, since it is smaller than the sum of its proper divisors (432979462215).

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

221730050592 is an frugal number, since it uses more digits than its factorization.

221730050592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 221730050592 in words is "two hundred twenty-one billion, seven hundred thirty million, fifty thousand, five hundred ninety-two".

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 3083 3888 5832 6166 7776 9249 11664 12332 18498 23328 24664 27747 36996 49328 55494 73992 83241 98656 110988 147984 166482 221976 249723 295968 332964 443952 499446 665928 749169 887904 998892 1331856 1498338 1997784 2247507 2663712 2996676 3995568 4495014 5993352 7991136 8990028 9504889 11986704 17980056 19009778 23973408 28514667 35960112 38019556 57029334 71920224 76039112 85544001 114058668 152078224 171088002 228117336 256632003 304156448 342176004 456234672 513264006 684352008 769896009 912469344 1026528012 1368704016 1539792018 2053056024 2309688027 2737408032 3079584036 4106112048 4619376054 6159168072 6929064081 8212224096 9238752108 12318336144 13858128162 18477504216 24636672288 27716256324 36955008432 55432512648 73910016864 110865025296 221730050592