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422968960 = 2753121319
BaseRepresentation
bin11001001101011…
…111111010000000
31002110220001100001
4121031133322000
51331240001320
6105545405344
713324114441
oct3115377200
91073801301
10422968960
111a7833927
12b9799854
13698241bb
14402632c8
15271ee20a
hex1935fe80

422968960 has 64 divisors (see below), whose sum is σ = 1043827200. Its totient is φ = 163722240.

The previous prime is 422968921. The next prime is 422968999. The reversal of 422968960 is 69869224.

It is an interprime number because it is at equal distance from previous prime (422968921) and next prime (422968999).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4229689602 = 357805482246963200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422968960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9181 + ... + 30499.

It is an arithmetic number, because the mean of its divisors is an integer number (16309800).

Almost surely, 2422968960 is an apocalyptic number.

422968960 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 422968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521913600).

422968960 is an abundant number, since it is smaller than the sum of its proper divisors (620858240).

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

422968960 is a wasteful number, since it uses less digits than its factorization.

422968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21369 (or 21357 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 422968960 is about 20566.2091791365. The cubic root of 422968960 is about 750.6477130553.

The spelling of 422968960 in words is "four hundred twenty-two million, nine hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 21319 42638 85276 106595 170552 213190 341104 426380 660889 682208 852760 1321778 1364416 1705520 2643556 2728832 3304445 3411040 5287112 6608890 6822080 10574224 13217780 13644160 21148448 26435560 42296896 52871120 84593792 105742240 211484480 422968960