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230058224 = 24113473767
BaseRepresentation
bin11011011011001…
…10100011110000
3121000220011112222
431231212203300
5432343330344
634454540212
75462314454
oct1555464360
9530804488
10230058224
11108953170
1265067668
133887c936
14227a8664
15152e55ee
hexdb668f0

230058224 has 40 divisors (see below), whose sum is σ = 487790208. Its totient is φ = 104242880.

The previous prime is 230058221. The next prime is 230058271. The reversal of 230058224 is 422850032.

It is a junction number, because it is equal to n+sod(n) for n = 230058193 and 230058202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230058221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59189 + ... + 62955.

Almost surely, 2230058224 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 230058224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243895104).

230058224 is an abundant number, since it is smaller than the sum of its proper divisors (257731984).

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

230058224 is a wasteful number, since it uses less digits than its factorization.

230058224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 230058224 is about 15167.6703550677. The cubic root of 230058224 is about 612.7442637580.

The spelling of 230058224 in words is "two hundred thirty million, fifty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 347 694 1388 2776 3767 3817 5552 7534 7634 15068 15268 30136 30536 41437 60272 61072 82874 165748 331496 662992 1307149 2614298 5228596 10457192 14378639 20914384 28757278 57514556 115029112 230058224