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4042402220 = 22529531071229
BaseRepresentation
bin1111000011110010…
…0010100110101100
3101102201111022100202
43300330202212230
531234323332340
61505042413032
7202113565133
oct36074424654
911381438322
104042402220
11179491568a
12949961178
134c564979c
142a4c3091a
15189d4dc15
hexf0f229ac

4042402220 has 96 divisors (see below), whose sum is σ = 9038433600. Its totient is φ = 1516196864.

The previous prime is 4042402219. The next prime is 4042402261. The reversal of 4042402220 is 222042404.

4042402220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4042402192 and 4042402201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3288566 + ... + 3289794.

It is an arithmetic number, because the mean of its divisors is an integer number (94150350).

Almost surely, 24042402220 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 4042402220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519216800).

4042402220 is an abundant number, since it is smaller than the sum of its proper divisors (4996031380).

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

4042402220 is a wasteful number, since it uses less digits than its factorization.

4042402220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4042402220 is about 63579.8884868478. Note that the first 3 decimals coincide. The cubic root of 4042402220 is about 1592.9904586969.

Adding to 4042402220 its reverse (222042404), we get a palindrome (4264444624).

The spelling of 4042402220 in words is "four billion, forty-two million, four hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 53 58 106 107 116 145 212 214 265 290 428 530 535 580 1060 1070 1229 1537 2140 2458 3074 3103 4916 5671 6145 6148 6206 7685 11342 12290 12412 15370 15515 22684 24580 28355 30740 31030 35641 56710 62060 65137 71282 113420 130274 131503 142564 164459 178205 260548 263006 325685 328918 356410 526012 651370 657515 657836 712820 822295 1302740 1315030 1644590 1888973 2630060 3289180 3777946 3813587 6969659 7555892 7627174 9444865 13939318 15254348 18889730 19067935 27878636 34848295 37779460 38135870 69696590 76271740 139393180 202120111 404240222 808480444 1010600555 2021201110 4042402220