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214734096 = 24322951421
BaseRepresentation
bin11001100110010…
…01010100010000
3112222001121210200
430303021110100
5414432442341
633150255200
75215131633
oct1463112420
9488047720
10214734096
111002369a5
125bab7500
13356458c5
1420739c1a
1513cb9db6
hexccc9510

214734096 has 60 divisors (see below), whose sum is σ = 621691980. Its totient is φ = 69108480.

The previous prime is 214734077. The next prime is 214734101. The reversal of 214734096 is 690437412.

It can be written as a sum of positive squares in 2 ways, for example, as 121881600 + 92852496 = 11040^2 + 9636^2 .

It is a super-2 number, since 2×2147340962 = 92221463969874432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 214734096.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21535 + ... + 29886.

It is an arithmetic number, because the mean of its divisors is an integer number (10361533).

Almost surely, 2214734096 is an apocalyptic number.

It is an amenable number.

214734096 is an abundant number, since it is smaller than the sum of its proper divisors (406957884).

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

214734096 is a wasteful number, since it uses less digits than its factorization.

214734096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51464 (or 51455 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 214734096 is about 14653.8082422284. The cubic root of 214734096 is about 598.8255693543.

The spelling of 214734096 in words is "two hundred fourteen million, seven hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 51421 102842 154263 205684 308526 411368 462789 617052 822736 925578 1234104 1491209 1851156 2468208 2982418 3702312 4473627 5964836 7404624 8947254 11929672 13420881 17894508 23859344 26841762 35789016 53683524 71578032 107367048 214734096