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4042222020 = 2232553423713
BaseRepresentation
bin1111000011101111…
…0110100111000100
3101102201011011011200
43300323312213010
531234302101040
61505034502500
7202112214564
oct36073664704
911381134150
104042222020
111794802261
12949894a30
134c55b5765
142a4bc4da4
15189d15630
hexf0ef69c4

4042222020 has 72 divisors (see below), whose sum is σ = 12492783576. Its totient is φ = 1057585152.

The previous prime is 4042221961. The next prime is 4042222049. The reversal of 4042222020 is 202222404.

4042222020 is a `hidden beast` number, since 4 + 0 + 422 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94361796 + 3947860224 = 9714^2 + 62832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4042221984 and 4042222002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202317 + ... + 221396.

It is an arithmetic number, because the mean of its divisors is an integer number (173510883).

Almost surely, 24042222020 is an apocalyptic number.

It is an amenable number.

4042222020 is an abundant number, since it is smaller than the sum of its proper divisors (8450561556).

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

4042222020 is a wasteful number, since it uses less digits than its factorization.

4042222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423781 (or 423776 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4042222020 is about 63578.4713562696. The cubic root of 4042222020 is about 1592.9667878587.

Adding to 4042222020 its reverse (202222404), we get a palindrome (4244444424).

The spelling of 4042222020 in words is "four billion, forty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 423713 847426 1271139 1694852 2118565 2542278 3813417 4237130 5084556 6355695 7626834 8474260 12711390 15253668 19067085 22456789 25422780 38134170 44913578 67370367 76268340 89827156 112283945 134740734 202111101 224567890 269481468 336851835 404222202 449135780 673703670 808444404 1010555505 1347407340 2021111010 4042222020