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22341341000 = 2353117572683
BaseRepresentation
bin10100110011101001…
…011100111101001000
32010200000011201022002
4110303221130331020
5331223340403000
614132524250132
71420432156646
oct246351347510
963600151262
1022341341000
119525117190
1243b60a0948
132150795b04
14111d236196
158ab5a68d5
hex533a5cf48

22341341000 has 128 divisors (see below), whose sum is σ = 57127973760. Its totient is φ = 8110368000.

The previous prime is 22341340981. The next prime is 22341341021. The reversal of 22341341000 is 14314322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8325659 + ... + 8328341.

It is an arithmetic number, because the mean of its divisors is an integer number (446312295).

Almost surely, 222341341000 is an apocalyptic number.

22341341000 is a gapful number since it is divisible by the number (20) 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 22341341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28563986880).

22341341000 is an abundant number, since it is smaller than the sum of its proper divisors (34786632760).

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

22341341000 is a wasteful number, since it uses less digits than its factorization.

22341341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22341341000 its reverse (14314322), we get a palindrome (22355655322).

The spelling of 22341341000 in words is "twenty-two billion, three hundred forty-one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 757 1000 1100 1375 1514 2200 2683 2750 3028 3785 5366 5500 6056 7570 8327 10732 11000 13415 15140 16654 18925 21464 26830 29513 30280 33308 37850 41635 53660 59026 66616 67075 75700 83270 94625 107320 118052 134150 147565 151400 166540 189250 208175 236104 268300 295130 333080 335375 378500 416350 536600 590260 670750 737825 757000 832700 1040875 1180520 1341500 1475650 1665400 2031031 2081750 2683000 2951300 3689125 4062062 4163500 5902600 7378250 8124124 8327000 10155155 14756500 16248248 20310310 22341341 29513000 40620620 44682682 50775775 81241240 89365364 101551550 111706705 178730728 203103100 223413410 253878875 406206200 446826820 507757750 558533525 893653640 1015515500 1117067050 2031031000 2234134100 2792667625 4468268200 5585335250 11170670500 22341341000