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214277934 = 231319191757
BaseRepresentation
bin11001100010110…
…01111100101110
3112221012110001210
430301121330232
5414323343214
633132415250
75211222003
oct1461317456
9487173053
10214277934
11aaa55202
125b917526
13355160a0
142065b8aa
1513c29b59
hexcc59f2e

214277934 has 64 divisors (see below), whose sum is σ = 489000960. Its totient is φ = 62052480.

The previous prime is 214277891. The next prime is 214277957. The reversal of 214277934 is 439772412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 214277892 and 214277901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282684 + ... + 283440.

It is an arithmetic number, because the mean of its divisors is an integer number (7640640).

Almost surely, 2214277934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214277934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244500480).

214277934 is an abundant number, since it is smaller than the sum of its proper divisors (274723026).

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

214277934 is a wasteful number, since it uses less digits than its factorization.

214277934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985.

The product of its digits is 84672, while the sum is 39.

The square root of 214277934 is about 14638.2353444669. The cubic root of 214277934 is about 598.4012381626.

The spelling of 214277934 in words is "two hundred fourteen million, two hundred seventy-seven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 191 247 382 494 573 741 757 1146 1482 1514 2271 2483 3629 4542 4966 7258 7449 9841 10887 14383 14898 19682 21774 28766 29523 43149 47177 59046 86298 94354 141531 144587 186979 283062 289174 373958 433761 560937 867522 1121874 1879631 2747153 3759262 5494306 5638893 8241459 11277786 16482918 35712989 71425978 107138967 214277934