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4227423200 = 2552711135279
BaseRepresentation
bin1111101111111001…
…0101101111100000
3101220121122100102122
43323332111233200
532124210020300
61535252203412
7206521334660
oct37376255740
911817570378
104227423200
11187a2a7690
1299b909568
13524a8ab60
142c16341a0
1519b1e9c85
hexfbf95be0

4227423200 has 288 divisors, whose sum is σ = 13859112960. Its totient is φ = 1216051200.

The previous prime is 4227423173. The next prime is 4227423217. The reversal of 4227423200 is 23247224.

It is a super-2 number, since 2×42274232002 = 35742213823796480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4227423200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798161 + ... + 803439.

It is an arithmetic number, because the mean of its divisors is an integer number (48121920).

Almost surely, 24227423200 is an apocalyptic number.

4227423200 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 4227423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929556480).

4227423200 is an abundant number, since it is smaller than the sum of its proper divisors (9631689760).

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

4227423200 is a wasteful number, since it uses less digits than its factorization.

4227423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 4227423200 is about 65018.6373280769. The cubic root of 4227423200 is about 1616.9325687737.

The spelling of 4227423200 in words is "four billion, two hundred twenty-seven million, four hundred twenty-three thousand, two hundred".