Search a number
-
+
422074160 = 24597109499
BaseRepresentation
bin11001001010000…
…101011100110000
31002102012120220022
4121022011130300
51331022333120
6105514303012
713313366624
oct3112053460
91072176808
10422074160
111a7282622
12b9427a68
136959cb31
14400ad184
15270c4025
hex19285730

422074160 has 80 divisors (see below), whose sum is σ = 1002540000. Its totient is φ = 165224448.

The previous prime is 422074153. The next prime is 422074171. The reversal of 422074160 is 61470224.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845591 + ... + 846089.

It is an arithmetic number, because the mean of its divisors is an integer number (12531750).

Almost surely, 2422074160 is an apocalyptic number.

422074160 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 422074160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501270000).

422074160 is an abundant number, since it is smaller than the sum of its proper divisors (580465840).

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

422074160 is a wasteful number, since it uses less digits than its factorization.

422074160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 422074160 is about 20544.4435310378. The cubic root of 422074160 is about 750.1180021737.

The spelling of 422074160 in words is "four hundred twenty-two million, seventy-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 109 194 218 388 436 485 499 545 776 872 970 998 1090 1552 1744 1940 1996 2180 2495 3880 3992 4360 4990 7760 7984 8720 9980 10573 19960 21146 39920 42292 48403 52865 54391 84584 96806 105730 108782 169168 193612 211460 217564 242015 271955 387224 422920 435128 484030 543910 774448 845840 870256 968060 1087820 1936120 2175640 3872240 4351280 5275927 10551854 21103708 26379635 42207416 52759270 84414832 105518540 211037080 422074160