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4226910480 = 243451350177
BaseRepresentation
bin1111101111110001…
…1000100100010000
3101220120200022010000
43323330120210100
532124042113410
61535233210000
7206514101112
oct37374304420
911816608100
104226910480
111879a87451
1299b700900
1352493b680
142c153d3b2
1519b147dc0
hexfbf18910

4226910480 has 200 divisors, whose sum is σ = 15810284952. Its totient is φ = 1040449536.

The previous prime is 4226910463. The next prime is 4226910497. The reversal of 4226910480 is 840196224.

4226910480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4226910463) and next prime (4226910497).

It can be written as a sum of positive squares in 4 ways, for example, as 1024256016 + 3202654464 = 32004^2 + 56592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59152 + ... + 109328.

Almost surely, 24226910480 is an apocalyptic number.

4226910480 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 4226910480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905142476).

4226910480 is an abundant number, since it is smaller than the sum of its proper divisors (11583374472).

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

4226910480 is a wasteful number, since it uses less digits than its factorization.

4226910480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50215 (or 50200 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4226910480 is about 65014.6943390492. The cubic root of 4226910480 is about 1616.8671966273.

The spelling of 4226910480 in words is "four billion, two hundred twenty-six million, nine hundred ten thousand, four hundred eighty".