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16225440 = 2535711439
BaseRepresentation
bin111101111001…
…010010100000
31010112100010020
4331321102200
513123203230
61335433440
7254625330
oct75712240
933470106
1016225440
119182460
125525880
13349136a
1422250c0
151657810
hexf794a0

16225440 has 192 divisors, whose sum is σ = 63866880. Its totient is φ = 3363840.

The previous prime is 16225427. The next prime is 16225441. The reversal of 16225440 is 4452261.

16225440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16225440.

It is not an unprimeable number, because it can be changed into a prime (16225441) 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, 36741 + ... + 37179.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 216225440 is an apocalyptic number.

16225440 is a gapful number since it is divisible by the number (10) 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 16225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

16225440 is an abundant number, since it is smaller than the sum of its proper divisors (47641440).

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

16225440 is a wasteful number, since it uses less digits than its factorization.

16225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 16225440 is about 4028.0814291670. The cubic root of 16225440 is about 253.1621804857.

It can be divided in two parts, 16 and 225440, that added together give a triangular number (225456 = T671).

The spelling of 16225440 in words is "sixteen million, two hundred twenty-five thousand, four hundred forty".