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422450400 = 25352176021
BaseRepresentation
bin11001001011100…
…001010011100000
31002102220201000010
4121023201103200
51331121403100
6105530324520
713316524551
oct3113412340
91072821003
10422450400
111a750a269
12b9589740
13696a2168
144016a328
152714a750
hex192e14e0

422450400 has 72 divisors (see below), whose sum is σ = 1375083864. Its totient is φ = 112652800.

The previous prime is 422450383. The next prime is 422450401. The reversal of 422450400 is 4054224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422450401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85611 + ... + 90410.

It is an arithmetic number, because the mean of its divisors is an integer number (19098387).

Almost surely, 2422450400 is an apocalyptic number.

422450400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422450400 is an abundant number, since it is smaller than the sum of its proper divisors (952633464).

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

422450400 is a wasteful number, since it uses less digits than its factorization.

422450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176044 (or 176031 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 422450400 is about 20553.5982251284. The cubic root of 422450400 is about 750.3408228740.

The spelling of 422450400 in words is "four hundred twenty-two million, four hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 176021 352042 528063 704084 880105 1056126 1408168 1760210 2112252 2640315 2816336 3520420 4224504 4400525 5280630 5632672 7040840 8449008 8801050 10561260 13201575 14081680 16898016 17602100 21122520 26403150 28163360 35204200 42245040 52806300 70408400 84490080 105612600 140816800 211225200 422450400