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153229230 = 232571122111
BaseRepresentation
bin10010010001000…
…01011110101110
3101200022211222200
421020201132232
5303211313410
623112122330
73540266310
oct1110413656
9350284880
10153229230
1179548430
12433963a6
132598c9ab
14164c97b0
15d6bb3c0
hex92217ae

153229230 has 96 divisors (see below), whose sum is σ = 496723968. Its totient is φ = 31838400.

The previous prime is 153229217. The next prime is 153229231. The reversal of 153229230 is 32922351.

It is a junction number, because it is equal to n+sod(n) for n = 153229194 and 153229203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153229231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4126 + ... + 17985.

It is an arithmetic number, because the mean of its divisors is an integer number (5174208).

Almost surely, 2153229230 is an apocalyptic number.

153229230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153229230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248361984).

153229230 is an abundant number, since it is smaller than the sum of its proper divisors (343494738).

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

153229230 is a wasteful number, since it uses less digits than its factorization.

153229230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22142 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 153229230 is about 12378.5794823154. The cubic root of 153229230 is about 535.1151002828.

The spelling of 153229230 in words is "one hundred fifty-three million, two hundred twenty-nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 22111 44222 66333 110555 132666 154777 198999 221110 243221 309554 331665 397998 464331 486442 663330 729663 773885 928662 994995 1216105 1392993 1459326 1547770 1702547 1989990 2188989 2321655 2432210 2785986 3405094 3648315 4377978 4643310 5107641 6964965 7296630 8512735 10215282 10944945 13929930 15322923 17025470 21889890 25538205 30645846 51076410 76614615 153229230