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305422131 = 37194911559
BaseRepresentation
bin10010001101000…
…101111100110011
3210021201001101210
4102031011330303
51111142002011
650150131203
710366021350
oct2215057463
9707631353
10305422131
11147448193
1286350b03
134b378a71
142c7c5627
151bc306a6
hex12345f33

305422131 has 32 divisors (see below), whose sum is σ = 491212800. Its totient is φ = 164898720.

The previous prime is 305422123. The next prime is 305422189. The reversal of 305422131 is 131224503.

It is not a de Polignac number, because 305422131 - 23 = 305422123 is a prime.

It is a super-2 number, since 2×3054221312 = 186565356209162322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 305422098 and 305422107.

It is not an unprimeable number, because it can be changed into a prime (305422111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195130 + ... + 196688.

It is an arithmetic number, because the mean of its divisors is an integer number (15350400).

Almost surely, 2305422131 is an apocalyptic number.

305422131 is a deficient number, since it is larger than the sum of its proper divisors (185790669).

305422131 is a wasteful number, since it uses less digits than its factorization.

305422131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 305422131 is about 17476.3305931194. The cubic root of 305422131 is about 673.4419526815.

Adding to 305422131 its reverse (131224503), we get a palindrome (436646634).

The spelling of 305422131 in words is "three hundred five million, four hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 491 1473 1559 3437 4677 9329 10311 10913 27987 29621 32739 65303 88863 195909 207347 622041 765469 2296407 5358283 14543911 16074849 43631733 101807377 305422131