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2025216 = 2833293
BaseRepresentation
bin111101110011100000000
310210220002000
413232130000
51004301331
6111224000
723133264
oct7563400
93726060
102025216
111163636
12818000
1355ba6b
143aa0a4
152a00e6
hex1ee700

2025216 has 72 divisors (see below), whose sum is σ = 6009360. Its totient is φ = 672768.

The previous prime is 2025211. The next prime is 2025217. The reversal of 2025216 is 6125202.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6766 + ... + 7058.

22025216 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 2025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004680).

2025216 is an abundant number, since it is smaller than the sum of its proper divisors (3984144).

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

2025216 is an equidigital number, since it uses as much as digits as its factorization.

2025216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2025216 is about 1423.1008397159. The cubic root of 2025216 is about 126.5193979429.

The spelling of 2025216 in words is "two million, twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 293 384 432 576 586 768 864 879 1152 1172 1728 1758 2304 2344 2637 3456 3516 4688 5274 6912 7032 7911 9376 10548 14064 15822 18752 21096 28128 31644 37504 42192 56256 63288 75008 84384 112512 126576 168768 225024 253152 337536 506304 675072 1012608 2025216