Search a number
-
+
16226304 = 211319139
BaseRepresentation
bin111101111001…
…100000000000
31010112101022020
4331321200000
513123220204
61335441440
7254631003
oct75714000
933471266
1016226304
119183076
125526280
133491883
14222553a
151657bd9
hexf79800

16226304 has 96 divisors (see below), whose sum is σ = 45864000. Its totient is φ = 5087232.

The previous prime is 16226297. The next prime is 16226317. The reversal of 16226304 is 40362261.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116667 + ... + 116805.

It is an arithmetic number, because the mean of its divisors is an integer number (477750).

Almost surely, 216226304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932000).

16226304 is an abundant number, since it is smaller than the sum of its proper divisors (29637696).

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

16226304 is a wasteful number, since it uses less digits than its factorization.

16226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 16226304 is about 4028.1886748264. The cubic root of 16226304 is about 253.1666740103.

Adding to 16226304 its reverse (40362261), we get a palindrome (56588565).

The spelling of 16226304 in words is "sixteen million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 139 152 192 228 256 278 304 384 417 456 512 556 608 768 834 912 1024 1112 1216 1536 1668 1824 2048 2224 2432 2641 3072 3336 3648 4448 4864 5282 6144 6672 7296 7923 8896 9728 10564 13344 14592 15846 17792 19456 21128 26688 29184 31692 35584 38912 42256 53376 58368 63384 71168 84512 106752 116736 126768 142336 169024 213504 253536 284672 338048 427008 507072 676096 854016 1014144 1352192 2028288 2704384 4056576 5408768 8113152 16226304