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221898248 = 231113316257
BaseRepresentation
bin11010011100111…
…10011000001000
3120110112121011122
431032132120020
5423301220443
634004014412
75333050445
oct1516363010
9513477148
10221898248
1110428a490
1262391408
1336c83750
14216829cc
1514732968
hexd39e608

221898248 has 64 divisors (see below), whose sum is σ = 504645120. Its totient is φ = 90086400.

The previous prime is 221898247. The next prime is 221898251. The reversal of 221898248 is 842898122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 221898199 and 221898208.

It is not an unprimeable number, because it can be changed into a prime (221898241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32336 + ... + 38592.

It is an arithmetic number, because the mean of its divisors is an integer number (7885080).

Almost surely, 2221898248 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 221898248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252322560).

221898248 is an abundant number, since it is smaller than the sum of its proper divisors (282746872).

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

221898248 is a wasteful number, since it uses less digits than its factorization.

221898248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6314 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 221898248 is about 14896.2494608542. The cubic root of 221898248 is about 605.4123710033.

The spelling of 221898248 in words is "two hundred twenty-one million, eight hundred ninety-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 2728 3224 4433 6257 8866 12514 17732 25028 35464 50056 68827 81341 137654 162682 193967 275308 325364 387934 550616 650728 775868 894751 1551736 1789502 2133637 2521571 3579004 4267274 5043142 7158008 8534548 10086284 17069096 20172568 27737281 55474562 110949124 221898248