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334222020 = 2232511592861
BaseRepresentation
bin10011111010111…
…101001011000100
3212021220020102100
4103322331023010
51141030101040
653055312100
711165561136
oct2372751304
9767806370
10334222020
11161728a50
1293b1b630
1354320712
1432561056
151e51db30
hex13ebd2c4

334222020 has 144 divisors (see below), whose sum is σ = 1125109440. Its totient is φ = 79622400.

The previous prime is 334222019. The next prime is 334222033. The reversal of 334222020 is 20222433.

It is a super-2 number, since 2×3342220202 = 223408717305760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 334221984 and 334222002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115390 + ... + 118250.

It is an arithmetic number, because the mean of its divisors is an integer number (7813260).

Almost surely, 2334222020 is an apocalyptic number.

334222020 is a gapful number since it is divisible by the number (30) 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 334222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562554720).

334222020 is an abundant number, since it is smaller than the sum of its proper divisors (790887420).

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

334222020 is a wasteful number, since it uses less digits than its factorization.

334222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 334222020 is about 18281.7400703544. The cubic root of 334222020 is about 693.9769084882.

Adding to 334222020 its reverse (20222433), we get a palindrome (354444453).

The spelling of 334222020 in words is "three hundred thirty-four million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 59 60 66 90 99 110 118 132 165 177 180 198 220 236 295 330 354 396 495 531 590 649 660 708 885 990 1062 1180 1298 1770 1947 1980 2124 2596 2655 2861 3245 3540 3894 5310 5722 5841 6490 7788 8583 9735 10620 11444 11682 12980 14305 17166 19470 23364 25749 28610 29205 31471 34332 38940 42915 51498 57220 58410 62942 85830 94413 102996 116820 125884 128745 157355 168799 171660 188826 257490 283239 314710 337598 377652 472065 506397 514980 566478 629420 675196 843995 944130 1012794 1132956 1416195 1519191 1687990 1856789 1888260 2025588 2531985 2832390 3038382 3375980 3713578 5063970 5570367 5664780 6076764 7427156 7595955 9283945 10127940 11140734 15191910 16711101 18567890 22281468 27851835 30383820 33422202 37135780 55703670 66844404 83555505 111407340 167111010 334222020