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4226880 = 263571737
BaseRepresentation
bin10000000111111101000000
321221202012010
4100013331000
52040230010
6230332520
750633160
oct20077500
97852163
104226880
112427799
1214ba140
13b4cc18
147c05a0
15587620
hex407f40

4226880 has 224 divisors, whose sum is σ = 16678656. Its totient is φ = 884736.

The previous prime is 4226867. The next prime is 4226891. The reversal of 4226880 is 886224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114222 + ... + 114258.

Almost surely, 24226880 is an apocalyptic number.

4226880 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 4226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339328).

4226880 is an abundant number, since it is smaller than the sum of its proper divisors (12451776).

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

4226880 is a wasteful number, since it uses less digits than its factorization.

4226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4226880 is about 2055.9377422480. The cubic root of 4226880 is about 161.6863310240.

The spelling of 4226880 in words is "four million, two hundred twenty-six thousand, eight hundred eighty".