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422512320 = 2635736029
BaseRepresentation
bin11001001011110…
…000011011000000
31002110000211221110
4121023300123000
51331130343240
6105531523320
713320203226
oct3113603300
91073024843
10422512320
111a755183a
12b95b9540
13696c43b9
1440184b16
152715dc80
hex192f06c0

422512320 has 112 divisors (see below), whose sum is σ = 1360078560. Its totient is φ = 111108096.

The previous prime is 422512301. The next prime is 422512327. The reversal of 422512320 is 23215224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422512327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67066 + ... + 73094.

Almost surely, 2422512320 is an apocalyptic number.

422512320 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 422512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680039280).

422512320 is an abundant number, since it is smaller than the sum of its proper divisors (937566240).

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

422512320 is a wasteful number, since it uses less digits than its factorization.

422512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 422512320 is about 20555.1044755311. The cubic root of 422512320 is about 750.3774810899.

Adding to 422512320 its reverse (23215224), we get a palindrome (445727544).

The spelling of 422512320 in words is "four hundred twenty-two million, five hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 146 160 192 219 240 292 320 365 438 480 584 730 876 960 1095 1168 1460 1752 2190 2336 2920 3504 4380 4672 5840 6029 7008 8760 11680 12058 14016 17520 18087 23360 24116 30145 35040 36174 48232 60290 70080 72348 90435 96464 120580 144696 180870 192928 241160 289392 361740 385856 440117 482320 578784 723480 880234 964640 1157568 1320351 1446960 1760468 1929280 2200585 2640702 2893920 3520936 4401170 5281404 5787840 6601755 7041872 8802340 10562808 13203510 14083744 17604680 21125616 26407020 28167488 35209360 42251232 52814040 70418720 84502464 105628080 140837440 211256160 422512320