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422870100 = 223523733779
BaseRepresentation
bin11001001101000…
…111110001010100
31002110201000201120
4121031013301110
51331223320400
6105543323540
713323223302
oct3115076124
91073630646
10422870100
111a7776624
12b97505b0
13697bb1c3
1440239272
15271ceca0
hex19347c54

422870100 has 72 divisors (see below), whose sum is σ = 1227108960. Its totient is φ = 112433280.

The previous prime is 422870059. The next prime is 422870131. The reversal of 422870100 is 1078224.

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, 110011 + ... + 113789.

It is an arithmetic number, because the mean of its divisors is an integer number (17043180).

Almost surely, 2422870100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422870100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613554480).

422870100 is an abundant number, since it is smaller than the sum of its proper divisors (804238860).

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

422870100 is a wasteful number, since it uses less digits than its factorization.

422870100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 422870100 is about 20563.8055816524. The cubic root of 422870100 is about 750.5892258515.

The spelling of 422870100 in words is "four hundred twenty-two million, eight hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 373 746 1119 1492 1865 2238 3730 3779 4476 5595 7460 7558 9325 11190 11337 15116 18650 18895 22380 22674 27975 37300 37790 45348 55950 56685 75580 94475 111900 113370 188950 226740 283425 377900 566850 1133700 1409567 2819134 4228701 5638268 7047835 8457402 14095670 16914804 21143505 28191340 35239175 42287010 70478350 84574020 105717525 140956700 211435050 422870100