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220666348 = 22753241617
BaseRepresentation
bin11010010011100…
…01100111101100
3120101020000022201
431021301213230
5422442310343
633521351244
75316430060
oct1511614754
9511200281
10220666348
11103618991
1261a98524
1336941b06
1421441aa0
151458c94d
hexd2719ec

220666348 has 48 divisors (see below), whose sum is σ = 452257344. Its totient is φ = 92252160.

The previous prime is 220666343. The next prime is 220666351. The reversal of 220666348 is 843666022.

It is not an unprimeable number, because it can be changed into a prime (220666343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357336 + ... + 357952.

It is an arithmetic number, because the mean of its divisors is an integer number (9422028).

Almost surely, 2220666348 is an apocalyptic number.

220666348 is a gapful number since it is divisible by the number (28) 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 220666348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226128672).

220666348 is an abundant number, since it is smaller than the sum of its proper divisors (231590996).

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

220666348 is a wasteful number, since it uses less digits than its factorization.

220666348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 220666348 is about 14854.8425774224. The cubic root of 220666348 is about 604.2899467516.

The spelling of 220666348 in words is "two hundred twenty million, six hundred sixty-six thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 53 106 212 241 371 482 617 742 964 1234 1484 1687 2468 3374 4319 6748 8638 12773 17276 25546 32701 51092 65402 89411 130804 148697 178822 228907 297394 357644 457814 594788 915628 1040879 2081758 4163516 7880941 15761882 31523764 55166587 110333174 220666348