Search a number
-
+
235829214 = 232312112003
BaseRepresentation
bin11100000111001…
…11011111011110
3121102202100212100
432003213133132
5440333013324
635222345530
75562341505
oct1603473736
9542670770
10235829214
11111134a85
1266b8b2a6
1339b2061a
142346b83c
1515a854c9
hexe0e77de

235829214 has 48 divisors (see below), whose sum is σ = 530210304. Its totient is φ = 75675600.

The previous prime is 235829179. The next prime is 235829257. The reversal of 235829214 is 412928532.

It is a happy number.

235829214 is a `hidden beast` number, since 2 + 358 + 292 + 14 = 666.

235829214 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116737 + ... + 118739.

It is an arithmetic number, because the mean of its divisors is an integer number (11046048).

Almost surely, 2235829214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235829214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265105152).

235829214 is an abundant number, since it is smaller than the sum of its proper divisors (294381090).

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

235829214 is a wasteful number, since it uses less digits than its factorization.

235829214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2250 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 235829214 is about 15356.7318788862. The cubic root of 235829214 is about 617.8255548102.

The spelling of 235829214 in words is "two hundred thirty-five million, eight hundred twenty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 211 279 422 558 633 1266 1899 2003 3798 4006 6009 6541 12018 13082 18027 19623 36054 39246 58869 62093 117738 124186 186279 372558 422633 558837 845266 1117674 1267899 2535798 3803697 7607394 13101623 26203246 39304869 78609738 117914607 235829214