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224120234232 = 2334345864559
BaseRepresentation
bin1101000010111010011…
…0110110000011111000
3210102111022202112120000
43100232212312003320
512132444234443412
6250543122233000
722122623362416
oct3205646660370
9712438675500
10224120234232
118705a036184
12375294b5760
13181994c4c1b
14abc16982b6
155c6acb54dc
hex342e9b60f8

224120234232 has 40 divisors (see below), whose sum is σ = 627744176400. Its totient is φ = 74706744528.

The previous prime is 224120234227. The next prime is 224120234237. The reversal of 224120234232 is 232432021422.

224120234232 is a `hidden beast` number, since 224 + 1 + 202 + 3 + 4 + 232 = 666.

224120234232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224120234227) and next prime (224120234237).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224120234196 and 224120234205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224120234237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 172931632 + ... + 172932927.

It is an arithmetic number, because the mean of its divisors is an integer number (15693604410).

Almost surely, 2224120234232 is an apocalyptic number.

It is an amenable number.

224120234232 is an abundant number, since it is smaller than the sum of its proper divisors (403623942168).

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

224120234232 is a wasteful number, since it uses less digits than its factorization.

224120234232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345864577 (or 345864564 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224120234232 its reverse (232432021422), we get a palindrome (456552255654).

The spelling of 224120234232 in words is "two hundred twenty-four billion, one hundred twenty million, two hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 345864559 691729118 1037593677 1383458236 2075187354 2766916472 3112781031 4150374708 6225562062 8300749416 9338343093 12451124124 18676686186 24902248248 28015029279 37353372372 56030058558 74706744744 112060117116 224120234232