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42229992200 = 235211213212
BaseRepresentation
bin100111010101000110…
…101000101100001000
311001000002011212201012
4213111012220230020
51142441334222300
631222235143052
73023333003534
oct472506505410
9131002155635
1042229992200
1116a00803200
1282268a4a88
133ca0085486
142088814bc4
15117267a435
hex9d51a8b08

42229992200 has 108 divisors (see below), whose sum is σ = 108003819735. Its totient is φ = 15344736000.

The previous prime is 42229992199. The next prime is 42229992253. The reversal of 42229992200 is 229992224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 35274098596 + 6955893604 = 187814^2 + 83402^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145310.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31967540 + ... + 31968860.

Almost surely, 242229992200 is an apocalyptic number.

42229992200 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 42229992200

42229992200 is an abundant number, since it is smaller than the sum of its proper divisors (65773827535).

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

42229992200 is a wasteful number, since it uses less digits than its factorization.

42229992200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 42229992200 in words is "forty-two billion, two hundred twenty-nine million, nine hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 1321 2200 2420 2642 3025 4840 5284 6050 6605 10568 12100 13210 14531 24200 26420 29062 33025 52840 58124 66050 72655 116248 132100 145310 159841 264200 290620 319682 363275 581240 639364 726550 799205 1278728 1453100 1598410 1745041 2906200 3196820 3490082 3996025 6393640 6980164 7992050 8725205 13960328 15984100 17450410 19195451 31968200 34900820 38390902 43626025 69801640 76781804 87252050 95977255 153563608 174504100 191954510 211149961 349008200 383909020 422299922 479886275 767818040 844599844 959772550 1055749805 1689199688 1919545100 2111499610 3839090200 4222999220 5278749025 8445998440 10557498050 21114996100 42229992200