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221449284 = 223277112377
BaseRepresentation
bin11010011001100…
…00110001000100
3120102200210022100
431030300301010
5423142334114
633550232100
75326200510
oct1514606104
9512623270
10221449284
11104003141
12621b5630
1336b572a4
14215a7140
1514694909
hexd330c44

221449284 has 72 divisors (see below), whose sum is σ = 648805248. Its totient is φ = 62375040.

The previous prime is 221449273. The next prime is 221449297. The reversal of 221449284 is 482944122.

It is a super-2 number, since 2×2214492842 = 98079570768225312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11704 + ... + 24080.

It is an arithmetic number, because the mean of its divisors is an integer number (9011184).

Almost surely, 2221449284 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 221449284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324402624).

221449284 is an abundant number, since it is smaller than the sum of its proper divisors (427355964).

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

221449284 is a wasteful number, since it uses less digits than its factorization.

221449284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465 (or 12460 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 221449284 is about 14881.1721312536. The cubic root of 221449284 is about 605.0037875136.

The spelling of 221449284 in words is "two hundred twenty-one million, four hundred forty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5964 8946 12377 17892 24754 37131 49508 74262 86639 111393 148524 173278 222786 259917 346556 445572 519834 779751 878767 1039668 1559502 1757534 2636301 3119004 3515068 5272602 6151369 7908903 10545204 12302738 15817806 18454107 24605476 31635612 36908214 55362321 73816428 110724642 221449284