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422341131330 = 23257989667427
BaseRepresentation
bin1100010010101010111…
…11100011110001000010
31111101010200100102200100
412021111133203301002
523404423312200310
6522004300103230
742341002245456
oct6112537436102
91441120312610
10422341131330
11153128615aa8
1269a29234b16
1330a9905c891
1416627382666
15aebce5cec0
hex62557e3c42

422341131330 has 96 divisors (see below), whose sum is σ = 1124482694400. Its totient is φ = 109949089536.

The previous prime is 422341131301. The next prime is 422341131383. The reversal of 422341131330 is 33131143224.

It is a happy number.

422341131330 is a `hidden beast` number, since 4 + 2 + 2 + 341 + 1 + 313 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 422341131294 and 422341131303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299077 + ... + 966503.

It is an arithmetic number, because the mean of its divisors is an integer number (11713361400).

Almost surely, 2422341131330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422341131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562241347200).

422341131330 is an abundant number, since it is smaller than the sum of its proper divisors (702141563070).

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

422341131330 is a wasteful number, since it uses less digits than its factorization.

422341131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667608 (or 667605 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 422341131330 its reverse (33131143224), we get a palindrome (455472274554).

The spelling of 422341131330 in words is "four hundred twenty-two billion, three hundred forty-one million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 89 90 158 178 237 267 395 445 474 534 711 790 801 890 1185 1335 1422 1602 2370 2670 3555 4005 7031 7110 8010 14062 21093 35155 42186 63279 70310 105465 126558 210930 316395 632790 667427 1334854 2002281 3337135 4004562 6006843 6674270 10011405 12013686 20022810 30034215 52726733 59401003 60068430 105453466 118802006 158180199 178203009 263633665 297005015 316360398 356406018 474540597 527267330 534609027 594010030 790900995 891015045 949081194 1069218054 1581801990 1782030090 2372702985 2673045135 4692679237 4745405970 5346090270 9385358474 14078037711 23463396185 28156075422 42234113133 46926792370 70390188555 84468226266 140780377110 211170565665 422341131330