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422331133032 = 23335383444473
BaseRepresentation
bin1100010010101001110…
…01011010110001101000
31111101002222112110121000
412021110321122301220
523404413232224112
6522003301515000
742340521254064
oct6112471326150
91441088473530
10422331133032
11153122a07146
1269a25a12a60
1330a96c6ba23
1416625cdcaa4
15aebc1357dc
hex6254e5ac68

422331133032 has 128 divisors (see below), whose sum is σ = 1209680438400. Its totient is φ = 136456459776.

The previous prime is 422331133027. The next prime is 422331133043. The reversal of 422331133032 is 230331133224.

422331133032 is a `hidden beast` number, since 4 + 22 + 331 + 1 + 3 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 422331132987 and 422331133005.

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, 727948 + ... + 1172420.

It is an arithmetic number, because the mean of its divisors is an integer number (9450628425).

Almost surely, 2422331133032 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 422331133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604840219200).

422331133032 is an abundant number, since it is smaller than the sum of its proper divisors (787349305368).

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

422331133032 is a wasteful number, since it uses less digits than its factorization.

422331133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444624 (or 444614 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 422331133032 its reverse (230331133224), we get a palindrome (652662266256).

The spelling of 422331133032 in words is "four hundred twenty-two billion, three hundred thirty-one million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 83 106 108 159 166 212 216 249 318 332 424 477 498 636 664 747 954 996 1272 1431 1494 1908 1992 2241 2862 2988 3816 4399 4482 5724 5976 8798 8964 11448 13197 17596 17928 26394 35192 39591 52788 79182 105576 118773 158364 237546 316728 444473 475092 888946 950184 1333419 1777892 2666838 3555784 4000257 5333676 8000514 10667352 12000771 16001028 23557069 24001542 32002056 36891259 47114138 48003084 70671207 73782518 94228276 96006168 110673777 141342414 147565036 188456552 212013621 221347554 282684828 295130072 332021331 424027242 442695108 565369656 636040863 664042662 848054484 885390216 996063993 1272081726 1328085324 1696108968 1955236727 1992127986 2544163452 2656170648 3910473454 3984255972 5088326904 5865710181 7820946908 7968511944 11731420362 15641893816 17597130543 23462840724 35194261086 46925681448 52791391629 70388522172 105582783258 140777044344 211165566516 422331133032