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220332464 = 24118315083
BaseRepresentation
bin11010010001000…
…00000110110000
3120100121001022122
431020200012300
5422401114324
633510253412
75313536462
oct1510400660
9510531278
10220332464
11103410050
1261957268
1336855b51
1421396132
1514523a5e
hexd2201b0

220332464 has 40 divisors (see below), whose sum is σ = 471344832. Its totient is φ = 98937920.

The previous prime is 220332457. The next prime is 220332499. The reversal of 220332464 is 464233022.

220332464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2203324642 = 97092789384622592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7067 + ... + 22149.

Almost surely, 2220332464 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 220332464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235672416).

220332464 is an abundant number, since it is smaller than the sum of its proper divisors (251012368).

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

220332464 is a wasteful number, since it uses less digits than its factorization.

220332464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15185 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 220332464 is about 14843.6001024010. The cubic root of 220332464 is about 603.9850149053.

Adding to 220332464 its reverse (464233022), we get a palindrome (684565486).

The spelling of 220332464 in words is "two hundred twenty million, three hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 332 664 913 1328 1826 3652 7304 14608 15083 30166 60332 120664 165913 241328 331826 663652 1251889 1327304 2503778 2654608 5007556 10015112 13770779 20030224 27541558 55083116 110166232 220332464