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221470144 = 267494353
BaseRepresentation
bin11010011001101…
…01110111000000
3120102201211220221
431030311313000
5423144021034
633550512424
75326315360
oct1514656700
9512654827
10221470144
11104017885
1262205714
1336b6392c
14215b09a0
151469abb4
hexd335dc0

221470144 has 28 divisors (see below), whose sum is σ = 502263664. Its totient is φ = 94915584.

The previous prime is 221470111. The next prime is 221470147. The reversal of 221470144 is 441074122.

221470144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221470147) 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, 246729 + ... + 247624.

It is an arithmetic number, because the mean of its divisors is an integer number (17937988).

Almost surely, 2221470144 is an apocalyptic number.

It is an amenable number.

221470144 is an abundant number, since it is smaller than the sum of its proper divisors (280793520).

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

221470144 is an equidigital number, since it uses as much as digits as its factorization.

221470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494372 (or 494362 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 221470144 is about 14881.8730003988. The cubic root of 221470144 is about 605.0227835602.

The spelling of 221470144 in words is "two hundred twenty-one million, four hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 494353 988706 1977412 3460471 3954824 6920942 7909648 13841884 15819296 27683768 31638592 55367536 110735072 221470144