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4022342120 = 2351723435981
BaseRepresentation
bin1110111111000000…
…0001000111101000
3101101022202011002002
43233300001013220
531214204421440
61503044430132
7201451225646
oct35760010750
911338664062
104022342120
111784564195
129430a8348
134c1444bc4
142a22cc196
151881da115
hexefc011e8

4022342120 has 128 divisors (see below), whose sum is σ = 10233527040. Its totient is φ = 1414533120.

The previous prime is 4022342111. The next prime is 4022342131. The reversal of 4022342120 is 212432204.

It is a super-2 number, since 2×40223421202 = 32358472260652188800, which contains 22 as substring.

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 = 4022342092 and 4022342101.

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, 669530 + ... + 675510.

It is an arithmetic number, because the mean of its divisors is an integer number (79949430).

Almost surely, 24022342120 is an apocalyptic number.

4022342120 is a gapful number since it is divisible by the number (40) 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 4022342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116763520).

4022342120 is an abundant number, since it is smaller than the sum of its proper divisors (6211184920).

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

4022342120 is a wasteful number, since it uses less digits than its factorization.

4022342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4022342120 is about 63421.9372141848. The cubic root of 4022342120 is about 1590.3510583828.

Adding to 4022342120 its reverse (212432204), we get a palindrome (4234774324).

The spelling of 4022342120 in words is "four billion, twenty-two million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 43 46 68 85 86 92 115 136 170 172 184 215 230 340 344 391 430 460 680 731 782 860 920 989 1462 1564 1720 1955 1978 2924 3128 3655 3910 3956 4945 5848 5981 7310 7820 7912 9890 11962 14620 15640 16813 19780 23924 29240 29905 33626 39560 47848 59810 67252 84065 101677 119620 134504 137563 168130 203354 239240 257183 275126 336260 406708 508385 514366 550252 672520 687815 813416 1016770 1028732 1100504 1285915 1375630 2033540 2057464 2338571 2571830 2751260 4067080 4372111 4677142 5143660 5502520 5915209 8744222 9354284 10287320 11692855 11830418 17488444 18708568 21860555 23385710 23660836 29576045 34976888 43721110 46771420 47321672 59152090 87442220 93542840 100558553 118304180 174884440 201117106 236608360 402234212 502792765 804468424 1005585530 2011171060 4022342120