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264220068200 = 235211139864029
BaseRepresentation
bin1111011000010010111…
…1100100100101101000
3221020222221200011111212
43312010233210211220
513312110314140300
6321214145012252
725042422344354
oct3660457444550
9836887604455
10264220068200
11a2067381a30
124325a924088
131bbba16052a
14cb07212464
156d1641c935
hex3d84be4968

264220068200 has 96 divisors (see below), whose sum is σ = 674980236000. Its totient is φ = 95388691200.

The previous prime is 264220068193. The next prime is 264220068209. The reversal of 264220068200 is 2860022462.

264220068200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2642200682002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264220068209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126215 + ... + 737814.

It is an arithmetic number, because the mean of its divisors is an integer number (7031044125).

Almost surely, 2264220068200 is an apocalyptic number.

264220068200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264220068200 is an abundant number, since it is smaller than the sum of its proper divisors (410760167800).

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

264220068200 is a wasteful number, since it uses less digits than its factorization.

264220068200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864195 (or 864186 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 264220068200 in words is "two hundred sixty-four billion, two hundred twenty million, sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 139 200 220 275 278 440 550 556 695 1100 1112 1390 1529 2200 2780 3058 3475 5560 6116 6950 7645 12232 13900 15290 27800 30580 38225 61160 76450 152900 305800 864029 1728058 3456116 4320145 6912232 8640290 9504319 17280580 19008638 21600725 34561160 38017276 43201450 47521595 76034552 86402900 95043190 120100031 172805800 190086380 237607975 240200062 380172760 475215950 480400124 600500155 950431900 960800248 1201000310 1321100341 1900863800 2402000620 2642200682 3002500775 4804001240 5284401364 6005001550 6605501705 10568802728 12010003100 13211003410 24020006200 26422006820 33027508525 52844013640 66055017050 132110034100 264220068200