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220042420 = 225131944543
BaseRepresentation
bin11010001110110…
…01010010110100
3120100001022110021
431013121102310
5422312324140
633500134524
75311221043
oct1507312264
9510038407
10220042420
11103232144
1261837444
1336783b20
142131c55a
15144b7b4a
hexd1d94b4

220042420 has 48 divisors (see below), whose sum is σ = 523837440. Its totient is φ = 76968576.

The previous prime is 220042393. The next prime is 220042451. The reversal of 220042420 is 24240022.

220042420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220042394 and 220042403.

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, 17332 + ... + 27211.

It is an arithmetic number, because the mean of its divisors is an integer number (10913280).

Almost surely, 2220042420 is an apocalyptic number.

220042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220042420 is an abundant number, since it is smaller than the sum of its proper divisors (303795020).

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

220042420 is a wasteful number, since it uses less digits than its factorization.

220042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44584 (or 44582 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 220042420 is about 14833.8268831748. The cubic root of 220042420 is about 603.7198714152.

Adding to 220042420 its reverse (24240022), we get a palindrome (244282442).

The spelling of 220042420 in words is "two hundred twenty million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 44543 89086 178172 222715 445430 579059 846317 890860 1158118 1692634 2316236 2895295 3385268 4231585 5790590 8463170 11002121 11581180 16926340 22004242 44008484 55010605 110021210 220042420