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422372412 = 2232711178963
BaseRepresentation
bin11001001011001…
…110010000111100
31002102202202000200
4121023032100330
51331111404122
6105524523500
713316051310
oct3113162074
91072682020
10422372412
111a7466710
12b9550590
1369675807
1440149b40
15271325ac
hex192ce43c

422372412 has 144 divisors (see below), whose sum is σ = 1409571072. Its totient is φ = 103242240.

The previous prime is 422372411. The next prime is 422372441. The reversal of 422372412 is 214273224.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422372411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42643 + ... + 51605.

It is an arithmetic number, because the mean of its divisors is an integer number (9788688).

Almost surely, 2422372412 is an apocalyptic number.

422372412 is a gapful number since it is divisible by the number (42) 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 422372412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704785536).

422372412 is an abundant number, since it is smaller than the sum of its proper divisors (987198660).

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

422372412 is a wasteful number, since it uses less digits than its factorization.

422372412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 9003 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 422372412 is about 20551.7009515028. The cubic root of 422372412 is about 750.2946468958.

The spelling of 422372412 in words is "four hundred twenty-two million, three hundred seventy-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 8963 11781 15708 17926 23562 26889 35852 47124 53778 62741 80667 98593 107556 125482 152371 161334 188223 197186 250964 295779 304742 322668 376446 394372 457113 564669 591558 609484 690151 752892 887337 914226 1066597 1129338 1183116 1371339 1380302 1676081 1774674 1828452 2070453 2133194 2258676 2742678 2760604 3199791 3352162 3549348 4140906 4266388 5028243 5485356 6211359 6399582 6704324 8281812 9599373 10056486 11732567 12422718 12799164 15084729 19198746 20112972 23465134 24845436 30169458 35197701 38397492 46930268 60338916 70395402 105593103 140790804 211186206 422372412