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220403420 = 225191274567
BaseRepresentation
bin11010010001100…
…01011011011100
3120100201122122122
431020301123130
5422410402140
633512002112
75314253366
oct1510613334
9510648578
10220403420
11103459396
1261990338
133687c233
14213b3d36
1514539ab5
hexd2316dc

220403420 has 48 divisors (see below), whose sum is σ = 491151360. Its totient is φ = 82845504.

The previous prime is 220403389. The next prime is 220403437. The reversal of 220403420 is 24304022.

220403420 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45977 + ... + 50543.

It is an arithmetic number, because the mean of its divisors is an integer number (10232320).

Almost surely, 2220403420 is an apocalyptic number.

220403420 is a gapful number since it is divisible by the number (20) 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 220403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245575680).

220403420 is an abundant number, since it is smaller than the sum of its proper divisors (270747940).

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

220403420 is a wasteful number, since it uses less digits than its factorization.

220403420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 220403420 is about 14845.9900309814. The cubic root of 220403420 is about 604.0498438465.

Adding to 220403420 its reverse (24304022), we get a palindrome (244707442).

The spelling of 220403420 in words is "two hundred twenty million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 127 190 254 380 508 635 1270 2413 2540 4567 4826 9134 9652 12065 18268 22835 24130 45670 48260 86773 91340 173546 347092 433865 580009 867730 1160018 1735460 2320036 2900045 5800090 11020171 11600180 22040342 44080684 55100855 110201710 220403420