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223045325055 = 33577910129581
BaseRepresentation
bin1100111110111010001…
…0011001000011111111
3210022201102010111101000
43033232202121003333
512123244100400210
6250244323221343
722054161660420
oct3175642310377
9708642114330
10223045325055
11866582a8a93
1237289517853
13180578ba8a7
14ab1ca0b647
155c06738ac0
hex33ee8990ff

223045325055 has 128 divisors (see below), whose sum is σ = 463467110400. Its totient is φ = 99672768000.

The previous prime is 223045325051. The next prime is 223045325057. The reversal of 223045325055 is 550523540322.

223045325055 is a `hidden beast` number, since 2 + 2 + 304 + 53 + 250 + 55 = 666.

It is not a de Polignac number, because 223045325055 - 22 = 223045325051 is a prime.

It is a super-2 number, since 2×2230453250552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223045325051) 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 127 ways as a sum of consecutive naturals, for example, 7525365 + ... + 7554945.

It is an arithmetic number, because the mean of its divisors is an integer number (3620836800).

Almost surely, 2223045325055 is an apocalyptic number.

223045325055 is an abundant number, since it is smaller than the sum of its proper divisors (240421785345).

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

223045325055 is a wasteful number, since it uses less digits than its factorization.

223045325055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29782 (or 29776 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

Adding to 223045325055 its reverse (550523540322), we get a palindrome (773568865377).

The spelling of 223045325055 in words is "two hundred twenty-three billion, forty-five million, three hundred twenty-five thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 79 101 105 135 189 237 303 315 395 505 553 707 711 909 945 1185 1515 1659 2121 2133 2727 2765 3535 3555 4545 4977 6363 7979 8295 10605 10665 13635 14931 19089 23937 24885 29581 31815 39895 55853 71811 74655 88743 95445 119685 147905 167559 207067 215433 266229 279265 359055 443715 502677 621201 798687 837795 1035335 1077165 1331145 1508031 1863603 2336899 2513385 2987681 3106005 3993435 5590809 7010697 7540155 8963043 9318015 11684495 14938405 16358293 20913767 21032091 26889129 27954045 35053485 44815215 49074879 62741301 63096273 80667387 81791465 104568835 105160455 134445645 147224637 188223903 236026799 245374395 313706505 315481365 403336935 441673911 564671709 708080397 736123185 941119515 1180133995 1652187593 2124241191 2208369555 2823358545 3540401985 4956562779 6372723573 8260937965 10621205955 14869688337 24782813895 31863617865 44609065011 74348441685 223045325055