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42022232320 = 28532829869
BaseRepresentation
bin100111001000101110…
…000110000100000000
311000110121020120201211
4213020232012010000
51142030142413240
631145454135504
73015231036565
oct471056060400
9130417216654
1042022232320
1116904500122
1281891b1594
133c69012133
142068db286c
15115e2dbbea
hex9c8b86100

42022232320 has 36 divisors (see below), whose sum is σ = 100656381420. Its totient is φ = 16808892416.

The previous prime is 42022232293. The next prime is 42022232347. The reversal of 42022232320 is 2323222024.

It is an interprime number because it is at equal distance from previous prime (42022232293) and next prime (42022232347).

It can be written as a sum of positive squares in 2 ways, for example, as 21064458496 + 20957773824 = 145136^2 + 144768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42022232291 and 42022232300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16413655 + ... + 16416214.

It is an arithmetic number, because the mean of its divisors is an integer number (2796010595).

Almost surely, 242022232320 is an apocalyptic number.

42022232320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42022232320 is an abundant number, since it is smaller than the sum of its proper divisors (58634149100).

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

42022232320 is an equidigital number, since it uses as much as digits as its factorization.

42022232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32829890 (or 32829876 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 42022232320 its reverse (2323222024), we get a palindrome (44345454344).

The spelling of 42022232320 in words is "forty-two billion, twenty-two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 32829869 65659738 131319476 164149345 262638952 328298690 525277904 656597380 1050555808 1313194760 2101111616 2626389520 4202223232 5252779040 8404446464 10505558080 21011116160 42022232320