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42302221220 = 22574711356893
BaseRepresentation
bin100111011001011010…
…001010101110100100
311001012010002111022002
4213121122022232210
51143113332034340
631233335224432
73025200643010
oct473132125644
9131163074262
1042302221220
1116a38556a06
128246b18118
133cb202473c
142094257540
151178b96715
hex9d968aba4

42302221220 has 96 divisors (see below), whose sum is σ = 104604853248. Its totient is φ = 14069164032.

The previous prime is 42302221217. The next prime is 42302221237. The reversal of 42302221220 is 2212220324.

42302221220 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 = 42302221192 and 42302221201.

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, 715094 + ... + 771986.

It is an arithmetic number, because the mean of its divisors is an integer number (1089633888).

Almost surely, 242302221220 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 42302221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52302426624).

42302221220 is an abundant number, since it is smaller than the sum of its proper divisors (62302632028).

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

42302221220 is a wasteful number, since it uses less digits than its factorization.

42302221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57069 (or 57067 counting only the distinct ones).

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

Adding to 42302221220 its reverse (2212220324), we get a palindrome (44514441544).

The spelling of 42302221220 in words is "forty-two billion, three hundred two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 113 140 188 226 235 329 452 470 565 658 791 940 1130 1316 1582 1645 2260 3164 3290 3955 5311 6580 7910 10622 15820 21244 26555 37177 53110 56893 74354 106220 113786 148708 185885 227572 284465 371770 398251 568930 743540 796502 1137860 1593004 1991255 2673971 3982510 5347942 6428909 7965020 10695884 12857818 13369855 18717797 25715636 26739710 32144545 37435594 45002363 53479420 64289090 74871188 90004726 93588985 128578180 180009452 187177970 225011815 302158723 374355940 450023630 604317446 900047260 1208634892 1510793615 2115111061 3021587230 4230222122 6043174460 8460444244 10575555305 21151110610 42302221220