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230222433 = 37223149457
BaseRepresentation
bin11011011100011…
…10101001100001
3121001012111210210
431232032221201
5432414104213
634502244333
75463600300
oct1556165141
9531174723
10230222433
11108a55581
12651266a9
13389095bc
142280c437
15153290c3
hexdb8ea61

230222433 has 48 divisors (see below), whose sum is σ = 375926400. Its totient is φ = 124717824.

The previous prime is 230222431. The next prime is 230222437. The reversal of 230222433 is 334222032.

It is not a de Polignac number, because 230222433 - 21 = 230222431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (230222431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503541 + ... + 503997.

It is an arithmetic number, because the mean of its divisors is an integer number (7831800).

Almost surely, 2230222433 is an apocalyptic number.

230222433 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

230222433 is a deficient number, since it is larger than the sum of its proper divisors (145703967).

230222433 is a wasteful number, since it uses less digits than its factorization.

230222433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 230222433 is about 15173.0825147694. The cubic root of 230222433 is about 612.8900155465.

Adding to 230222433 its reverse (334222032), we get a palindrome (564444465).

The spelling of 230222433 in words is "two hundred thirty million, two hundred twenty-two thousand, four hundred thirty-three".

Divisors: 1 3 7 21 23 49 69 147 149 161 447 457 483 1043 1127 1371 3129 3199 3381 3427 7301 9597 10281 10511 21903 22393 23989 31533 67179 68093 71967 73577 167923 204279 220731 476651 503769 515039 1429953 1545117 1566139 3336557 4698417 10009671 10962973 32888919 76740811 230222433