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4226543640 = 23325118771217
BaseRepresentation
bin1111101111101011…
…1111000000011000
3101220112222122220100
43323322333000120
532123443344030
61535221255400
7206511012444
oct37372770030
911815878810
104226543640
111879856880
1299b564560
135248406c7
142c1485824
1519b0c4360
hexfbebf018

4226543640 has 192 divisors, whose sum is σ = 15014432160. Its totient is φ = 1022607360.

The previous prime is 4226543623. The next prime is 4226543653. The reversal of 4226543640 is 463456224.

4226543640 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 5 + 4 + 3 + 640 = 666.

It is a super-2 number, since 2×42265436402 = 35727342281648899200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4226543595 and 4226543604.

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 47 ways as a sum of consecutive naturals, for example, 3472312 + ... + 3473528.

Almost surely, 24226543640 is an apocalyptic number.

4226543640 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 4226543640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507216080).

4226543640 is an abundant number, since it is smaller than the sum of its proper divisors (10787888520).

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

4226543640 is a wasteful number, since it uses less digits than its factorization.

4226543640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4226543640 is about 65011.8730694632. The cubic root of 4226543640 is about 1616.8204210351.

Adding to 4226543640 its reverse (463456224), we get a palindrome (4689999864).

It can be divided in two parts, 42265 and 43640, that added together give a triangular number (85905 = T414).

The spelling of 4226543640 in words is "four billion, two hundred twenty-six million, five hundred forty-three thousand, six hundred forty".