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264224250 = 23253432731
BaseRepresentation
bin11111011111110…
…11110111111010
3200102011222112100
433233323313322
51020120134000
642115124230
76355604043
oct1757736772
9612158470
10264224250
11126169654
12745a3676
1342982c14
142713d8ca
15182e3a00
hexfbfbdfa

264224250 has 96 divisors (see below), whose sum is σ = 731345472. Its totient is φ = 68796000.

The previous prime is 264224201. The next prime is 264224267. The reversal of 264224250 is 52422462.

It is a happy number.

264224250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 95385 + ... + 98115.

It is an arithmetic number, because the mean of its divisors is an integer number (7618182).

Almost surely, 2264224250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264224250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365672736).

264224250 is an abundant number, since it is smaller than the sum of its proper divisors (467121222).

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

264224250 is a wasteful number, since it uses less digits than its factorization.

264224250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 264224250 is about 16254.9761611637. The cubic root of 264224250 is about 641.6884533747.

The spelling of 264224250 in words is "two hundred sixty-four million, two hundred twenty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 125 129 150 215 225 250 258 375 387 430 450 645 750 774 1075 1125 1290 1935 2150 2250 2731 3225 3870 5375 5462 6450 8193 9675 10750 13655 16125 16386 19350 24579 27310 32250 40965 48375 49158 68275 81930 96750 117433 122895 136550 204825 234866 245790 341375 352299 409650 587165 614475 682750 704598 1024125 1056897 1174330 1228950 1761495 2048250 2113794 2935825 3072375 3522990 5284485 5871650 6144750 8807475 10568970 14679125 17614950 26422425 29358250 44037375 52844850 88074750 132112125 264224250