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4226000000 = 27562113
BaseRepresentation
bin1111101111100011…
…1010010010000000
3101220111222001011112
43323320322102000
532123324000000
61535201502452
7206503256465
oct37370722200
911814861145
104226000000
111879515392
1299b341a28
135246b0121
142c138366c
1519b018235
hexfbe3a480

4226000000 has 112 divisors (see below), whose sum is σ = 10528576170. Its totient is φ = 1689600000.

The previous prime is 4225999993. The next prime is 4226000027. The reversal of 4226000000 is 6224.

4226000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 3658798144 + 567201856 = 60488^2 + 23816^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1998944 + ... + 2001056.

Almost surely, 24226000000 is an apocalyptic number.

4226000000 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 4226000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264288085).

4226000000 is an abundant number, since it is smaller than the sum of its proper divisors (6302576170).

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

4226000000 is an frugal number, since it uses more digits than its factorization.

4226000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4226000000 is about 65007.6918525800. The cubic root of 4226000000 is about 1616.7510967821.

Adding to 4226000000 its reverse (6224), we get a palindrome (4226006224).

The spelling of 4226000000 in words is "four billion, two hundred twenty-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2113 2500 3125 3200 4000 4226 5000 6250 8000 8452 10000 10565 12500 15625 16000 16904 20000 21130 25000 31250 33808 40000 42260 50000 52825 62500 67616 80000 84520 100000 105650 125000 135232 169040 200000 211300 250000 264125 270464 338080 400000 422600 500000 528250 676160 845200 1000000 1056500 1320625 1352320 1690400 2000000 2113000 2641250 3380800 4226000 5282500 6603125 6761600 8452000 10565000 13206250 16904000 21130000 26412500 33015625 33808000 42260000 52825000 66031250 84520000 105650000 132062500 169040000 211300000 264125000 422600000 528250000 845200000 1056500000 2113000000 4226000000