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422681100 = 2235210313679
BaseRepresentation
bin11001001100011…
…001101000001100
31002110100102110120
4121030121220030
51331201243400
6105535304540
713321505262
oct3114315014
91073312416
10422681100
111a7657626
12b967b150
136975317a
14401ca432
1527193ca0
hex19319a0c

422681100 has 72 divisors (see below), whose sum is σ = 1234920960. Its totient is φ = 111612480.

The previous prime is 422681071. The next prime is 422681111. The reversal of 422681100 is 1186224.

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, 24061 + ... + 37739.

It is an arithmetic number, because the mean of its divisors is an integer number (17151680).

Almost surely, 2422681100 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 422681100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617460480).

422681100 is an abundant number, since it is smaller than the sum of its proper divisors (812239860).

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

422681100 is a wasteful number, since it uses less digits than its factorization.

422681100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13792 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 422681100 is about 20559.2096151579. The cubic root of 422681100 is about 750.4773849625.

The spelling of 422681100 in words is "four hundred twenty-two million, six hundred eighty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 5150 6180 7725 10300 13679 15450 27358 30900 41037 54716 68395 82074 136790 164148 205185 273580 341975 410370 683950 820740 1025925 1367900 1408937 2051850 2817874 4103700 4226811 5635748 7044685 8453622 14089370 16907244 21134055 28178740 35223425 42268110 70446850 84536220 105670275 140893700 211340550 422681100