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42223113400 = 235213149108991
BaseRepresentation
bin100111010100101100…
…011001010010111000
311000222121020101202211
4213110230121102320
51142433104112100
631221431504504
73023220353656
oct472454312270
9130877211684
1042223113400
11169a7935046
128224528134
133c9b817490
142087943dd6
151171c6c1ba
hex9d4b194b8

42223113400 has 96 divisors (see below), whose sum is σ = 106430688000. Its totient is φ = 15485299200.

The previous prime is 42223113391. The next prime is 42223113403. The reversal of 42223113400 is 431132224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42223113403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332905 + ... + 441895.

It is an arithmetic number, because the mean of its divisors is an integer number (1108653000).

Almost surely, 242223113400 is an apocalyptic number.

42223113400 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 42223113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53215344000).

42223113400 is an abundant number, since it is smaller than the sum of its proper divisors (64207574600).

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

42223113400 is a wasteful number, since it uses less digits than its factorization.

42223113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109169 (or 109160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42223113400 its reverse (431132224), we get a palindrome (42654245624).

The spelling of 42223113400 in words is "forty-two billion, two hundred twenty-three million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 149 200 260 298 325 520 596 650 745 1192 1300 1490 1937 2600 2980 3725 3874 5960 7450 7748 9685 14900 15496 19370 29800 38740 48425 77480 96850 108991 193700 217982 387400 435964 544955 871928 1089910 1416883 2179820 2724775 2833766 4359640 5449550 5667532 7084415 10899100 11335064 14168830 16239659 21798200 28337660 32479318 35422075 56675320 64958636 70844150 81198295 129917272 141688300 162396590 211115567 283376600 324793180 405991475 422231134 649586360 811982950 844462268 1055577835 1623965900 1688924536 2111155670 3247931800 4222311340 5277889175 8444622680 10555778350 21111556700 42223113400