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4225416900 = 2235226595297
BaseRepresentation
bin1111101111011010…
…1011111011000100
3101220110212102022020
43323312223323010
532123201320100
61535141203140
7206465310465
oct37366537304
911813772266
104225416900
111879157291
1299b1004b0
135245378b3
142c1270d6c
1519ae505a0
hexfbdabec4

4225416900 has 72 divisors (see below), whose sum is σ = 12232446240. Its totient is φ = 1126141440.

The previous prime is 4225416863. The next prime is 4225416919. The reversal of 4225416900 is 96145224.

It is a super-2 number, since 2×42254169002 = 35708295957611220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795052 + ... + 800348.

Almost surely, 24225416900 is an apocalyptic number.

It is an amenable number.

4225416900 is an abundant number, since it is smaller than the sum of its proper divisors (8007029340).

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

4225416900 is a wasteful number, since it uses less digits than its factorization.

4225416900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4225416900 is about 65003.2068439704. The cubic root of 4225416900 is about 1616.6767340335.

The spelling of 4225416900 in words is "four billion, two hundred twenty-five million, four hundred sixteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2659 5297 5318 7977 10594 10636 13295 15891 15954 21188 26485 26590 31782 31908 39885 52970 53180 63564 66475 79455 79770 105940 132425 132950 158910 159540 199425 264850 265900 317820 397275 398850 529700 794550 797700 1589100 14084723 28169446 42254169 56338892 70423615 84508338 140847230 169016676 211270845 281694460 352118075 422541690 704236150 845083380 1056354225 1408472300 2112708450 4225416900