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4225333000 = 235371735507
BaseRepresentation
bin1111101111011001…
…0111011100001000
3101220110201011012211
43323312113130020
532123141124000
61535135314504
7206464511050
oct37366273410
911813634184
104225333000
1118790aa249
1299b07ba34
13524508655
142c124c560
1519ae357ba
hexfbd97708

4225333000 has 128 divisors (see below), whose sum is σ = 11964775680. Its totient is φ = 1363430400.

The previous prime is 4225332989. The next prime is 4225333001. The reversal of 4225333000 is 3335224.

It is not an unprimeable number, because it can be changed into a prime (4225333001) 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 31 ways as a sum of consecutive naturals, for example, 101247 + ... + 136753.

It is an arithmetic number, because the mean of its divisors is an integer number (93474810).

Almost surely, 24225333000 is an apocalyptic number.

4225333000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982387840).

4225333000 is an abundant number, since it is smaller than the sum of its proper divisors (7739442680).

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

4225333000 is a wasteful number, since it uses less digits than its factorization.

4225333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35552 (or 35538 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 4225333000 is about 65002.5614879906. The cubic root of 4225333000 is about 1616.6660337027. Note that the first 3 decimals are identical.

Adding to 4225333000 its reverse (3335224), we get a palindrome (4228668224).

The spelling of 4225333000 in words is "four billion, two hundred twenty-five million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 35507 59500 71014 119000 142028 177535 248549 284056 355070 497098 603619 710140 887675 994196 1207238 1242745 1420280 1775350 1988392 2414476 2485490 3018095 3550700 4225333 4438375 4828952 4970980 6036190 6213725 7101400 8450666 8876750 9941960 12072380 12427450 15090475 16901332 17753500 21126665 24144760 24854900 30180950 31068625 33802664 35507000 42253330 49709800 60361900 62137250 75452375 84506660 105633325 120723800 124274500 150904750 169013320 211266650 248549000 301809500 422533300 528166625 603619000 845066600 1056333250 2112666500 4225333000