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150205314 = 23723315349
BaseRepresentation
bin10001111001111…
…11001110000010
3101110122012221210
420330333032002
5301423032224
622523230550
73502503240
oct1074771602
9343565853
10150205314
1177872526
1242378456
13251714ac
1415d3d790
15d2c0429
hex8f3f382

150205314 has 32 divisors (see below), whose sum is σ = 344822400. Its totient is φ = 42728832.

The previous prime is 150205309. The next prime is 150205333. The reversal of 150205314 is 413502051.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112 + ... + 17460.

It is an arithmetic number, because the mean of its divisors is an integer number (10775700).

Almost surely, 2150205314 is an apocalyptic number.

150205314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

150205314 is an abundant number, since it is smaller than the sum of its proper divisors (194617086).

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

150205314 is a wasteful number, since it uses less digits than its factorization.

150205314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15594.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 150205314 is about 12255.8277566226. The cubic root of 150205314 is about 531.5715948272.

Adding to 150205314 its reverse (413502051), we get a palindrome (563707365).

The spelling of 150205314 in words is "one hundred fifty million, two hundred five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 233 466 699 1398 1631 3262 4893 9786 15349 30698 46047 92094 107443 214886 322329 644658 3576317 7152634 10728951 21457902 25034219 50068438 75102657 150205314