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4271222880 = 253358591151
BaseRepresentation
bin1111111010010101…
…1011000001100000
3102000200001121022000
43332211123001200
532221413113010
61543455044000
7210562536561
oct37645330140
912020047260
104271222880
1118a1aa2a71
129b2510600
13530b85022
142c7396168
1519ee9c7c0
hexfe95b060

4271222880 has 192 divisors, whose sum is σ = 14979686400. Its totient is φ = 1136678400.

The previous prime is 4271222869. The next prime is 4271222881. The reversal of 4271222880 is 882221724.

4271222880 is a `hidden beast` number, since 427 + 1 + 2 + 228 + 8 + 0 = 666.

4271222880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4271222881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3710305 + ... + 3711455.

It is an arithmetic number, because the mean of its divisors is an integer number (78019200).

Almost surely, 24271222880 is an apocalyptic number.

4271222880 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 4271222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489843200).

4271222880 is an abundant number, since it is smaller than the sum of its proper divisors (10708463520).

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

4271222880 is a wasteful number, since it uses less digits than its factorization.

4271222880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4271222880 is about 65354.5934116340. The cubic root of 4271222880 is about 1622.4976561434.

The spelling of 4271222880 in words is "four billion, two hundred seventy-one million, two hundred twenty-two thousand, eight hundred eighty".