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4222040000 = 2654591789
BaseRepresentation
bin1111101110100111…
…0011011111000000
3101220020111212001212
43323221303133000
532121320240000
61534540545252
7206424514343
oct37351633700
911806455055
104222040000
111877260162
12999b52228
13523924829
142c0a3245a
1519a9d4c35
hexfba737c0

4222040000 has 140 divisors (see below), whose sum is σ = 10652683800. Its totient is φ = 1659264000.

The previous prime is 4222039973. The next prime is 4222040021. The reversal of 4222040000 is 402224.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2359106 + ... + 2360894.

Almost surely, 24222040000 is an apocalyptic number.

4222040000 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 4222040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326341900).

4222040000 is an abundant number, since it is smaller than the sum of its proper divisors (6430643800).

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

4222040000 is an equidigital number, since it uses as much as digits as its factorization.

4222040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4222040000 is about 64977.2267798496. The cubic root of 4222040000 is about 1616.2459433535.

Adding to 4222040000 its reverse (402224), we get a palindrome (4222442224).

The spelling of 4222040000 in words is "four billion, two hundred twenty-two million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 160 200 236 250 295 320 400 472 500 590 625 800 944 1000 1180 1250 1475 1600 1789 1888 2000 2360 2500 2950 3578 3776 4000 4720 5000 5900 7156 7375 8000 8945 9440 10000 11800 14312 14750 17890 18880 20000 23600 28624 29500 35780 36875 40000 44725 47200 57248 59000 71560 73750 89450 94400 105551 114496 118000 143120 147500 178900 211102 223625 236000 286240 295000 357800 422204 447250 472000 527755 572480 590000 715600 844408 894500 1055510 1118125 1180000 1431200 1688816 1789000 2111020 2236250 2360000 2638775 2862400 3377632 3578000 4222040 4472500 5277550 6755264 7156000 8444080 8945000 10555100 13193875 14312000 16888160 17890000 21110200 26387750 33776320 35780000 42220400 52775500 65969375 71560000 84440800 105551000 131938750 168881600 211102000 263877500 422204000 527755000 844408000 1055510000 2111020000 4222040000