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214273830 = 235192931283
BaseRepresentation
bin11001100010110…
…00111100100110
3112221012020102210
430301120330212
5414323230310
633132344250
75211204021
oct1461307446
9487166383
10214273830
11aaa52111
125b915086
1335514264
142065a1b8
1513c28820
hexcc58f26

214273830 has 64 divisors (see below), whose sum is σ = 543594240. Its totient is φ = 53905536.

The previous prime is 214273793. The next prime is 214273841. The reversal of 214273830 is 38372412.

214273830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 11.

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, 166369 + ... + 167651.

It is an arithmetic number, because the mean of its divisors is an integer number (8493660).

Almost surely, 2214273830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214273830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271797120).

214273830 is an abundant number, since it is smaller than the sum of its proper divisors (329320410).

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

214273830 is a wasteful number, since it uses less digits than its factorization.

214273830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 214273830 is about 14638.0951629643. The cubic root of 214273830 is about 598.3974178059.

The spelling of 214273830 in words is "two hundred fourteen million, two hundred seventy-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 293 570 586 879 1283 1465 1758 2566 2930 3849 4395 5567 6415 7698 8790 11134 12830 16701 19245 24377 27835 33402 38490 48754 55670 73131 83505 121885 146262 167010 243770 365655 375919 731310 751838 1127757 1879595 2255514 3759190 5638785 7142461 11277570 14284922 21427383 35712305 42854766 71424610 107136915 214273830