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422999200 = 25521389457
BaseRepresentation
bin11001001101100…
…111010010100000
31002110221120211001
4121031213102200
51331241433300
6105550201344
713324301551
oct3115472240
91073846731
10422999200
111a7854618
12b97b3254
1369834bb0
1440270328
152720816a
hex193674a0

422999200 has 144 divisors (see below), whose sum is σ = 1127037240. Its totient is φ = 154091520.

The previous prime is 422999197. The next prime is 422999237. The reversal of 422999200 is 2999224.

It can be written as a sum of positive squares in 12 ways, for example, as 3732624 + 419266576 = 1932^2 + 20476^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 422999200.

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 23 ways as a sum of consecutive naturals, for example, 925372 + ... + 925828.

Almost surely, 2422999200 is an apocalyptic number.

422999200 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 422999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563518620).

422999200 is an abundant number, since it is smaller than the sum of its proper divisors (704038040).

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

422999200 is a wasteful number, since it uses less digits than its factorization.

422999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 422999200 is about 20566.9443525284. The cubic root of 422999200 is about 750.6656017170.

The spelling of 422999200 in words is "four hundred twenty-two million, nine hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 89 100 104 130 160 178 200 208 260 325 356 400 416 445 457 520 650 712 800 890 914 1040 1157 1300 1424 1780 1828 2080 2225 2285 2314 2600 2848 3560 3656 4450 4570 4628 5200 5785 5941 7120 7312 8900 9140 9256 10400 11425 11570 11882 14240 14624 17800 18280 18512 22850 23140 23764 28925 29705 35600 36560 37024 40673 45700 46280 47528 57850 59410 71200 73120 81346 91400 92560 95056 115700 118820 148525 162692 182800 185120 190112 203365 231400 237640 297050 325384 365600 406730 462800 475280 528749 594100 650768 813460 925600 950560 1016825 1057498 1188200 1301536 1626920 2033650 2114996 2376400 2643745 3253840 4067300 4229992 4752800 5287490 6507680 8134600 8459984 10574980 13218725 16269200 16919968 21149960 26437450 32538400 42299920 52874900 84599840 105749800 211499600 422999200