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422814960 = 243254114323
BaseRepresentation
bin11001001100111…
…010010011110000
31002110121020002100
4121030322103300
51331220034320
6105542220400
713322603451
oct3114722360
91073536070
10422814960
111a7739157
12b9724700
136979c089
1440223128
15271bd790
hex1933a4f0

422814960 has 120 divisors (see below), whose sum is σ = 1454688144. Its totient is φ = 109992960.

The previous prime is 422814929. The next prime is 422814971. The reversal of 422814960 is 69418224.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22359 + ... + 36681.

Almost surely, 2422814960 is an apocalyptic number.

422814960 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 422814960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727344072).

422814960 is an abundant number, since it is smaller than the sum of its proper divisors (1031873184).

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

422814960 is a wasteful number, since it uses less digits than its factorization.

422814960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14383 (or 14374 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 422814960 is about 20562.4648327967. The cubic root of 422814960 is about 750.5566001595.

The spelling of 422814960 in words is "four hundred twenty-two million, eight hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14323 14760 28646 29520 42969 57292 71615 85938 114584 128907 143230 171876 214845 229168 257814 286460 343752 429690 515628 572920 587243 644535 687504 859380 1031256 1145840 1174486 1289070 1718760 1761729 2062512 2348972 2578140 2936215 3437520 3523458 4697944 5156280 5285187 5872430 7046916 8808645 9395888 10312560 10570374 11744860 14093832 17617290 21140748 23489720 26425935 28187664 35234580 42281496 46979440 52851870 70469160 84562992 105703740 140938320 211407480 422814960