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214497280 = 211520947
BaseRepresentation
bin11001100100011…
…11100000000000
3112221121120221201
430302033200000
5414402403110
633141230544
75213124334
oct1462174000
9487546851
10214497280
11100094a88
125ba02454
1335591b8a
14206b77c4
1513c6eb3a
hexcc8f800

214497280 has 48 divisors (see below), whose sum is σ = 514692360. Its totient is φ = 85794816.

The previous prime is 214497247. The next prime is 214497301. The reversal of 214497280 is 82794412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 234 + ... + 20713.

Almost surely, 2214497280 is an apocalyptic number.

214497280 is a gapful number since it is divisible by the number (20) 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 214497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257346180).

214497280 is an abundant number, since it is smaller than the sum of its proper divisors (300195080).

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

214497280 is an equidigital number, since it uses as much as digits as its factorization.

214497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20974 (or 20954 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 214497280 is about 14645.7256563135. The cubic root of 214497280 is about 598.6053533723.

The spelling of 214497280 in words is "two hundred fourteen million, four hundred ninety-seven 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 2048 2560 5120 10240 20947 41894 83788 104735 167576 209470 335152 418940 670304 837880 1340608 1675760 2681216 3351520 5362432 6703040 10724864 13406080 21449728 26812160 42899456 53624320 107248640 214497280