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422830180 = 2251943113229
BaseRepresentation
bin11001001100111…
…110000001100100
31002110121222222001
4121030332001210
51331221031210
6105542415044
713322666023
oct3114760144
91073558861
10422830180
111a7749633
12b9731484
13697a5c96
14402288ba
15271c303a
hex1933e064

422830180 has 96 divisors (see below), whose sum is σ = 969091200. Its totient is φ = 154441728.

The previous prime is 422830169. The next prime is 422830211. The reversal of 422830180 is 81038224.

It is a super-2 number, since 2×4228301802 = 357570722237664800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1846306 + ... + 1846534.

It is an arithmetic number, because the mean of its divisors is an integer number (10094700).

Almost surely, 2422830180 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 422830180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484545600).

422830180 is an abundant number, since it is smaller than the sum of its proper divisors (546261020).

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

422830180 is a wasteful number, since it uses less digits than its factorization.

422830180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 422830180 is about 20562.8349212846. The cubic root of 422830180 is about 750.5656059386.

The spelling of 422830180 in words is "four hundred twenty-two million, eight hundred thirty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 113 172 190 215 226 229 380 430 452 458 565 817 860 916 1130 1145 1634 2147 2260 2290 3268 4085 4294 4351 4580 4859 8170 8588 8702 9718 9847 10735 16340 17404 19436 19694 21470 21755 24295 25877 39388 42940 43510 48590 49235 51754 87020 92321 97180 98470 103508 129385 184642 187093 196940 258770 369284 374186 461605 491663 517540 748372 923210 935465 983326 1112711 1846420 1870930 1966652 2225422 2458315 3741860 4450844 4916630 5563555 9833260 11127110 21141509 22254220 42283018 84566036 105707545 211415090 422830180