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16225056 = 253389211
BaseRepresentation
bin111101111001…
…001100100000
31010112022121000
4331321030200
513123200211
61335432000
7254624241
oct75711440
933468530
1016225056
119182141
125525600
133491133
142224cc8
151657656
hexf79320

16225056 has 96 divisors (see below), whose sum is σ = 48081600. Its totient is φ = 5322240.

The previous prime is 16225043. The next prime is 16225063. The reversal of 16225056 is 65052261.

16225056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

16225056 is a nontrivial binomial coefficient, being equal to C(5697, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76791 + ... + 77001.

It is an arithmetic number, because the mean of its divisors is an integer number (500850).

Almost surely, 216225056 is an apocalyptic number.

16225056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16225056 is the 5696-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16225056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24040800).

16225056 is an abundant number, since it is smaller than the sum of its proper divisors (31856544).

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

16225056 is a wasteful number, since it uses less digits than its factorization.

16225056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 16225056 is about 4028.0337635129. The cubic root of 16225056 is about 253.1601833125.

The spelling of 16225056 in words is "sixteen million, two hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 89 96 108 144 178 211 216 267 288 356 422 432 534 633 712 801 844 864 1068 1266 1424 1602 1688 1899 2136 2403 2532 2848 3204 3376 3798 4272 4806 5064 5697 6408 6752 7596 8544 9612 10128 11394 12816 15192 18779 19224 20256 22788 25632 30384 37558 38448 45576 56337 60768 75116 76896 91152 112674 150232 169011 182304 225348 300464 338022 450696 507033 600928 676044 901392 1014066 1352088 1802784 2028132 2704176 4056264 5408352 8112528 16225056