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214958934 = 23410712401
BaseRepresentation
bin11001101000000…
…00001101010110
3112222111001020000
430310000031112
5420012141214
633155152130
75220056301
oct1464001526
9488431200
10214958934
1110037a913
125bba5646
13356c4048
1420797b38
1513d11809
hexcd00356

214958934 has 40 divisors (see below), whose sum is σ = 486208008. Its totient is φ = 70977600.

The previous prime is 214958923. The next prime is 214958963. The reversal of 214958934 is 439859412.

214958934 is a `hidden beast` number, since 21 + 49 + 589 + 3 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214958934.

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 19 ways as a sum of consecutive naturals, for example, 11134 + ... + 23534.

Almost surely, 2214958934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214958934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243104004).

214958934 is an abundant number, since it is smaller than the sum of its proper divisors (271249074).

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

214958934 is a wasteful number, since it uses less digits than its factorization.

214958934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12513 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 214958934 is about 14661.4778927637. The cubic root of 214958934 is about 599.0344971739.

The spelling of 214958934 in words is "two hundred fourteen million, nine hundred fifty-eight thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1926 2889 5778 8667 12401 17334 24802 37203 74406 111609 223218 334827 669654 1004481 1326907 2008962 2653814 3980721 7961442 11942163 23884326 35826489 71652978 107479467 214958934