Search a number
-
+
422897280 = 27351316943
BaseRepresentation
bin11001001101001…
…110011010000000
31002110202102000020
4121031032122000
51331230203110
6105544053440
713323365451
oct3115163200
91073672006
10422897280
111a7794a93
12b9764280
13697ca6a0
1440245128
15271d7d70
hex1934e680

422897280 has 128 divisors (see below), whose sum is σ = 1451761920. Its totient is φ = 104091648.

The previous prime is 422897261. The next prime is 422897311. The reversal of 422897280 is 82798224.

It is a tau number, because it is divible by the number of its divisors (128).

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, 16489 + ... + 33431.

It is an arithmetic number, because the mean of its divisors is an integer number (11341890).

Almost surely, 2422897280 is an apocalyptic number.

422897280 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 422897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725880960).

422897280 is an abundant number, since it is smaller than the sum of its proper divisors (1028864640).

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

422897280 is a wasteful number, since it uses less digits than its factorization.

422897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16978 (or 16966 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 422897280 is about 20564.4664409267. The cubic root of 422897280 is about 750.6053068955.

The spelling of 422897280 in words is "four hundred twenty-two million, eight hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 16943 24960 33886 50829 67772 84715 101658 135544 169430 203316 220259 254145 271088 338860 406632 440518 508290 542176 660777 677720 813264 881036 1016580 1084352 1101295 1321554 1355440 1626528 1762072 2033160 2168704 2202590 2643108 2710880 3253056 3303885 3524144 4066320 4405180 5286216 5421760 6506112 6607770 7048288 8132640 8810360 10572432 10843520 13215540 14096576 16265280 17620720 21144864 26431080 28193152 32530560 35241440 42289728 52862160 70482880 84579456 105724320 140965760 211448640 422897280