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223071068416 = 287242172
BaseRepresentation
bin1100111111000000010…
…0100110000100000000
3210022210012120101121211
43033300010212010000
512123322143142131
6250251043055504
722054623540100
oct3176004460400
9708705511554
10223071068416
1186670891399
1237296071594
1318060032251
14ab221cd200
155c08b215b1
hex33f0126100

223071068416 has 81 divisors (see below), whose sum is σ = 518090890989. Its totient is φ = 95579215872.

The previous prime is 223071068383. The next prime is 223071068419. The reversal of 223071068416 is 614860170322.

The square root of 223071068416 is 472304.

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

It can be written as a sum of positive squares in only one way, i.e., 198203040000 + 24868028416 = 445200^2 + 157696^2 .

It is a super-3 number, since 3×2230710684163 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223071068419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52895940 + ... + 52900156.

Almost surely, 2223071068416 is an apocalyptic number.

223071068416 is the 472304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223071068416

223071068416 is an abundant number, since it is smaller than the sum of its proper divisors (295019822573).

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

223071068416 is an frugal number, since it uses more digits than its factorization.

223071068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8464 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 223071068416 in words is "two hundred twenty-three billion, seventy-one million, sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 4217 6272 8434 12544 16868 29519 33736 59038 67472 118076 134944 206633 236152 269888 413266 472304 539776 826532 944608 1079552 1653064 1889216 3306128 3778432 6612256 7556864 13224512 17783089 26449024 35566178 52898048 71132356 124481623 142264712 248963246 284529424 497926492 569058848 871371361 995852984 1138117696 1742742722 1991705968 2276235392 3485485444 3983411936 4552470784 6970970888 7966823872 13941941776 15933647744 27883883552 31867295488 55767767104 111535534208 223071068416