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422506100 = 225217248533
BaseRepresentation
bin11001001011101…
…110111001110100
31002110000112102002
4121023232321310
51331130143400
6105531434432
713320146132
oct3113567164
91073015362
10422506100
111a75480a5
12b95b5a18
13696c1613
1440182752
152715bed5
hex192eee74

422506100 has 36 divisors (see below), whose sum is σ = 970773804. Its totient is φ = 159060480.

The previous prime is 422506079. The next prime is 422506109. The reversal of 422506100 is 1605224.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 50324836 + 372181264 = 7094^2 + 19292^2 .

It is a super-2 number, since 2×4225061002 = 357022809074420000, which contains 22 as substring.

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 (422506109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122567 + ... + 125966.

It is an arithmetic number, because the mean of its divisors is an integer number (26965939).

Almost surely, 2422506100 is an apocalyptic number.

It is an amenable number.

422506100 is an abundant number, since it is smaller than the sum of its proper divisors (548267704).

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

422506100 is a wasteful number, since it uses less digits than its factorization.

422506100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248564 (or 248557 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 422506100 is about 20554.9531743568. The cubic root of 422506100 is about 750.3737988535.

The spelling of 422506100 in words is "four hundred twenty-two million, five hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 248533 497066 994132 1242665 2485330 4225061 4970660 6213325 8450122 12426650 16900244 21125305 24853300 42250610 84501220 105626525 211253050 422506100