Search a number
-
+
234224688 = 243474
BaseRepresentation
bin11011111010111…
…11110000110000
3121022201211212110
431331133300300
5434430142223
635124125320
75542606545
oct1575376060
9538654773
10234224688
11110239525
1266536840
13396ab1b9
1423170bcc
1515869d93
hexdf5fc30

234224688 has 50 divisors (see below), whose sum is σ = 618234364. Its totient is φ = 76413728.

The previous prime is 234224687. The next prime is 234224693. The reversal of 234224688 is 886422432.

It is a super-2 number, since 2×2342246882 = 109722408937394688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (234224687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4983481 + ... + 4983527.

Almost surely, 2234224688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234224688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309117182).

234224688 is an abundant number, since it is smaller than the sum of its proper divisors (384009676).

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

234224688 is an frugal number, since it uses more digits than its factorization.

234224688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 52 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 234224688 is about 15304.4009356786. The cubic root of 234224688 is about 616.4211855000.

The spelling of 234224688 in words is "two hundred thirty-four million, two hundred twenty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2209 2256 4418 6627 8836 13254 17672 26508 35344 53016 103823 106032 207646 311469 415292 622938 830584 1245876 1661168 2491752 4879681 4983504 9759362 14639043 19518724 29278086 39037448 58556172 78074896 117112344 234224688