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221293248 = 26311104779
BaseRepresentation
bin11010011000010…
…10101011000000
3120102101212021020
431030022223000
5423122340443
633543025440
75324650551
oct1514125300
9512355236
10221293248
11103a06990
126213b280
1336b01267
1421566328
1514663583
hexd30aac0

221293248 has 56 divisors (see below), whose sum is σ = 638738880. Its totient is φ = 67057920.

The previous prime is 221293243. The next prime is 221293253. The reversal of 221293248 is 842392122.

221293248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221293243) and next prime (221293253).

It is a super-2 number, since 2×2212932482 = 97941403220779008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (221293243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50278 + ... + 54501.

Almost surely, 2221293248 is an apocalyptic number.

It is an amenable number.

221293248 is an abundant number, since it is smaller than the sum of its proper divisors (417445632).

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

221293248 is a wasteful number, since it uses less digits than its factorization.

221293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104805 (or 104795 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 221293248 is about 14875.9284752247. The cubic root of 221293248 is about 604.8616563217.

The spelling of 221293248 in words is "two hundred twenty-one million, two hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 104779 209558 314337 419116 628674 838232 1152569 1257348 1676464 2305138 2514696 3352928 3457707 4610276 5029392 6705856 6915414 9220552 10058784 13830828 18441104 20117568 27661656 36882208 55323312 73764416 110646624 221293248