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223200000205 = 572132319315787
BaseRepresentation
bin1100111111011111000…
…0011011100011001101
3210100010012011210210021
43033313300123203031
512124103200001310
6250311530342141
722061050461400
oct3176760334315
9710105153707
10223200000205
1186727643796
123731128a951
1318080965750
14ab35391d37
155c150dd5da
hex33f7c1b8cd

223200000205 has 96 divisors (see below), whose sum is σ = 351960747264. Its totient is φ = 134427009024.

The previous prime is 223200000193. The next prime is 223200000241. The reversal of 223200000205 is 502000002322.

It is not a de Polignac number, because 223200000205 - 25 = 223200000173 is a prime.

It is a super-3 number, since 3×2232000002053 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14130322 + ... + 14146108.

It is an arithmetic number, because the mean of its divisors is an integer number (3666257784).

Almost surely, 2223200000205 is an apocalyptic number.

It is an amenable number.

223200000205 is a deficient number, since it is larger than the sum of its proper divisors (128760747059).

223200000205 is a wasteful number, since it uses less digits than its factorization.

223200000205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16035 (or 16028 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

Adding to 223200000205 its reverse (502000002322), we get a palindrome (725200002527).

The spelling of 223200000205 in words is "two hundred twenty-three billion, two hundred million, two hundred five", and thus it is an aban number.

Divisors: 1 5 7 13 23 35 49 65 91 115 161 193 245 299 455 637 805 965 1127 1351 1495 2093 2509 3185 4439 5635 6755 9457 10465 12545 14651 15787 17563 22195 31073 47285 57707 73255 78935 87815 110509 122941 155365 205231 217511 288535 363101 403949 552545 614705 773563 1026155 1087555 1436617 1815505 2019745 2541707 2827643 3046891 3867815 4720313 7183085 10056319 12708535 14138215 15234455 17791949 21328237 23601565 33042191 39609583 50281595 70078493 88959745 106641185 149297659 165210955 198047915 231295337 277267081 350392465 490549451 746488295 911020409 1156476685 1386335405 1940869567 2452747255 3433846157 4555102045 6377142863 9704347835 17169230785 31885714315 44640000041 223200000205