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422513300 = 2252111013803
BaseRepresentation
bin11001001011110…
…000101010010100
31002110000220021202
4121023300222110
51331130411200
6105531532032
713320206126
oct3113605224
91073026252
10422513300
111a7552550
12b95ba018
13696c4991
1440185216
152715e1d5
hex192f0a94

422513300 has 72 divisors (see below), whose sum is σ = 1010372832. Its totient is φ = 152080000.

The previous prime is 422513293. The next prime is 422513303. The reversal of 422513300 is 3315224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422513303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109199 + ... + 113001.

It is an arithmetic number, because the mean of its divisors is an integer number (14032956).

Almost surely, 2422513300 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 422513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505186416).

422513300 is an abundant number, since it is smaller than the sum of its proper divisors (587859532).

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

422513300 is a wasteful number, since it uses less digits than its factorization.

422513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 422513300 is about 20555.1283138783. The cubic root of 422513300 is about 750.3780612461.

Adding to 422513300 its reverse (3315224), we get a palindrome (425828524).

The spelling of 422513300 in words is "four hundred twenty-two million, five hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 3803 4444 5050 5555 7606 10100 11110 15212 19015 22220 27775 38030 41833 55550 76060 83666 95075 111100 167332 190150 209165 380300 384103 418330 768206 836660 1045825 1536412 1920515 2091650 3841030 4183300 4225133 7682060 8450266 9602575 16900532 19205150 21125665 38410300 42251330 84502660 105628325 211256650 422513300