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220400124 = 223716316097
BaseRepresentation
bin11010010001100…
…00100111111100
3120100201111010120
431020300213330
5422410300444
633511534540
75314240650
oct1510604774
9510644116
10220400124
1110345696a
126198a450
133687a899
14213b2a60
1514538b19
hexd2309fc

220400124 has 48 divisors (see below), whose sum is σ = 591376128. Its totient is φ = 62581248.

The previous prime is 220400123. The next prime is 220400143. The reversal of 220400124 is 421004022.

220400124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220400123) 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, 5644 + ... + 21740.

It is an arithmetic number, because the mean of its divisors is an integer number (12320336).

Almost surely, 2220400124 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 220400124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295688064).

220400124 is an abundant number, since it is smaller than the sum of its proper divisors (370976004).

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

220400124 is a wasteful number, since it uses less digits than its factorization.

220400124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16274 (or 16272 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 220400124 is about 14845.8790241602. The cubic root of 220400124 is about 604.0468327647.

Adding to 220400124 its reverse (421004022), we get a palindrome (641404146).

The spelling of 220400124 in words is "two hundred twenty million, four hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1956 2282 3423 4564 6846 13692 16097 32194 48291 64388 96582 112679 193164 225358 338037 450716 676074 1352148 2623811 5247622 7871433 10495244 15742866 18366677 31485732 36733354 55100031 73466708 110200062 220400124