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16225280 = 21053169
BaseRepresentation
bin111101111001…
…010000000000
31010112022220022
4331321100000
513123202110
61335433012
7254625011
oct75712000
933468808
1016225280
119182325
125525768
133491276
142225008
151657755
hexf79400

16225280 has 44 divisors (see below), whose sum is σ = 38933940. Its totient is φ = 6488064.

The previous prime is 16225247. The next prime is 16225283. The reversal of 16225280 is 8252261.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 6390784 = 3136^2 + 2528^2 .

It is a super-2 number, since 2×162252802 = 526519422156800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16225283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3536 + ... + 6704.

Almost surely, 216225280 is an apocalyptic number.

16225280 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 16225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466970).

16225280 is an abundant number, since it is smaller than the sum of its proper divisors (22708660).

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

16225280 is an equidigital number, since it uses as much as digits as its factorization.

16225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 16225280 is about 4028.0615685463. The cubic root of 16225280 is about 253.1613483340.

The spelling of 16225280 in words is "sixteen million, two hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3169 5120 6338 12676 15845 25352 31690 50704 63380 101408 126760 202816 253520 405632 507040 811264 1014080 1622528 2028160 3245056 4056320 8112640 16225280