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214070550 = 235210913093
BaseRepresentation
bin11001100001001…
…11010100010110
3112220210220120220
430300213110112
5414300224200
633124135210
75206366251
oct1460472426
9486726526
10214070550
11aa923411
125b837506
1335472885
1420606098
1513bd84a0
hexcc27516

214070550 has 48 divisors (see below), whose sum is σ = 535806480. Its totient is φ = 56557440.

The previous prime is 214070509. The next prime is 214070557. The reversal of 214070550 is 55070412.

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 214070550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214070557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9804 + ... + 22896.

It is an arithmetic number, because the mean of its divisors is an integer number (11162635).

Almost surely, 2214070550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214070550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267903240).

214070550 is an abundant number, since it is smaller than the sum of its proper divisors (321735930).

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

214070550 is a wasteful number, since it uses less digits than its factorization.

214070550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13217 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 214070550 is about 14631.1499889790. The cubic root of 214070550 is about 598.2081261965.

The spelling of 214070550 in words is "two hundred fourteen million, seventy thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 109 150 218 327 545 654 1090 1635 2725 3270 5450 8175 13093 16350 26186 39279 65465 78558 130930 196395 327325 392790 654650 981975 1427137 1963950 2854274 4281411 7135685 8562822 14271370 21407055 35678425 42814110 71356850 107035275 214070550