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4224233000 = 235313324941
BaseRepresentation
bin1111101111001000…
…1010111000101000
3101220101122021022002
43323302022320220
532122400424000
61535055550132
7206452250051
oct37362127050
911811567262
104224233000
111878518859
1299a82b348
13524211a70
142c1043728
1519acb98d5
hexfbc8ae28

4224233000 has 64 divisors (see below), whose sum is σ = 10645099920. Its totient is φ = 1559712000.

The previous prime is 4224232997. The next prime is 4224233017. The reversal of 4224233000 is 3324224.

It can be written as a sum of positive squares in 8 ways, for example, as 357134404 + 3867098596 = 18898^2 + 62186^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149471 + ... + 175470.

Almost surely, 24224233000 is an apocalyptic number.

4224233000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224233000 is an abundant number, since it is smaller than the sum of its proper divisors (6420866920).

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

4224233000 is a wasteful number, since it uses less digits than its factorization.

4224233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324975 (or 324961 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4224233000 is about 64994.0997322065. The cubic root of 4224233000 is about 1616.5257302063.

Adding to 4224233000 its reverse (3324224), we get a palindrome (4227557224).

The spelling of 4224233000 in words is "four billion, two hundred twenty-four million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 324941 649882 1299764 1624705 2599528 3249410 4224233 6498820 8123525 8448466 12997640 16247050 16896932 21121165 32494100 33793864 40617625 42242330 64988200 81235250 84484660 105605825 162470500 168969320 211211650 324941000 422423300 528029125 844846600 1056058250 2112116500 4224233000