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414221130 = 23258951713
BaseRepresentation
bin11000101100001…
…000001101001010
31001212102121120100
4120230020031022
51322020034010
6105034110230
713156551531
oct3054101512
91055377510
10414221130
111a28a9514
12b687b376
1367a8057b
143d027318
15265722c0
hex18b0834a

414221130 has 48 divisors (see below), whose sum is σ = 1089096840. Its totient is φ = 109215744.

The previous prime is 414221117. The next prime is 414221131. The reversal of 414221130 is 31122414.

414221130 is a `hidden beast` number, since 414 + 221 + 1 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 304537401 + 109683729 = 17451^2 + 10473^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17847 + ... + 33866.

Almost surely, 2414221130 is an apocalyptic number.

414221130 is an abundant number, since it is smaller than the sum of its proper divisors (674875710).

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

414221130 is a wasteful number, since it uses less digits than its factorization.

414221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51815 (or 51812 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414221130 is about 20352.4231972510. The cubic root of 414221130 is about 745.4366642683.

Adding to 414221130 its reverse (31122414), we get a palindrome (445343544).

The spelling of 414221130 in words is "four hundred fourteen million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 51713 103426 155139 258565 310278 465417 517130 775695 930834 1551390 2327085 4602457 4654170 9204914 13807371 23012285 27614742 41422113 46024570 69036855 82844226 138073710 207110565 414221130