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422770560 = 2735317103
BaseRepresentation
bin11001001100101…
…111011110000000
31002110111222011220
4121030233132000
51331212124220
6105541235040
713322330142
oct3114573600
91073458156
10422770560
111a7708863
12b9702a80
1369784ac4
1440210c92
15271b0540
hex1932f780

422770560 has 128 divisors (see below), whose sum is σ = 1391247360. Its totient is φ = 109086720.

The previous prime is 422770541. The next prime is 422770597. The reversal of 422770560 is 65077224.

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

It is a congruent number.

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, 55969 + ... + 63071.

It is an arithmetic number, because the mean of its divisors is an integer number (10869120).

Almost surely, 2422770560 is an apocalyptic number.

422770560 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 422770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695623680).

422770560 is an abundant number, since it is smaller than the sum of its proper divisors (968476800).

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

422770560 is a wasteful number, since it uses less digits than its factorization.

422770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7156 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 422770560 is about 20561.3851673471. The cubic root of 422770560 is about 750.5303271380.

The spelling of 422770560 in words is "four hundred twenty-two million, seven hundred seventy thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3720 3968 4960 5952 7103 7440 9920 11904 14206 14880 19840 21309 28412 29760 35515 42618 56824 59520 71030 85236 106545 113648 142060 170472 213090 220193 227296 284120 340944 426180 440386 454592 568240 660579 681888 852360 880772 909184 1100965 1136480 1321158 1363776 1704720 1761544 2201930 2272960 2642316 2727552 3302895 3409440 3523088 4403860 4545920 5284632 6605790 6818880 7046176 8807720 10569264 13211580 13637760 14092352 17615440 21138528 26423160 28184704 35230880 42277056 52846320 70461760 84554112 105692640 140923520 211385280 422770560