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220726464 = 2637164231
BaseRepresentation
bin11010010100000…
…00010011000000
3120101100001210020
431022000103000
5423001221324
633522533440
75320100250
oct1512002300
9511301706
10220726464
1110365a072
1261b07280
133696329a
1421459960
15145a0679
hexd2804c0

220726464 has 56 divisors (see below), whose sum is σ = 667438848. Its totient is φ = 63064320.

The previous prime is 220726463. The next prime is 220726481. The reversal of 220726464 is 464627022.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (220726463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80772 + ... + 83459.

Almost surely, 2220726464 is an apocalyptic number.

220726464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220726464 is an abundant number, since it is smaller than the sum of its proper divisors (446712384).

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

220726464 is a wasteful number, since it uses less digits than its factorization.

220726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164253 (or 164243 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 220726464 is about 14856.8658875282. The cubic root of 220726464 is about 604.3448172176.

The spelling of 220726464 in words is "two hundred twenty million, seven hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 164231 328462 492693 656924 985386 1149617 1313848 1970772 2299234 2627696 3448851 3941544 4598468 5255392 6897702 7883088 9196936 10510784 13795404 15766176 18393872 27590808 31532352 36787744 55181616 73575488 110363232 220726464