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153146224 = 24711197631
BaseRepresentation
bin10010010000011…
…01001101110000
3101200011122010101
421020031031300
5303201134344
623110242144
73536502310
oct1110151560
9350148111
10153146224
11794a1030
1243356354
1325960c8a
14164a7440
15d6a19d4
hex920d370

153146224 has 80 divisors (see below), whose sum is σ = 372404736. Its totient is φ = 59270400.

The previous prime is 153146209. The next prime is 153146243. The reversal of 153146224 is 422641351.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 153146192 and 153146201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242389 + ... + 243019.

Almost surely, 2153146224 is an apocalyptic number.

153146224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153146224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186202368).

153146224 is an abundant number, since it is smaller than the sum of its proper divisors (219258512).

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

153146224 is a wasteful number, since it uses less digits than its factorization.

153146224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 848 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 153146224 is about 12375.2262201545. The cubic root of 153146224 is about 535.0184568705.

Adding to 153146224 its reverse (422641351), we get a palindrome (575787575).

The spelling of 153146224 in words is "one hundred fifty-three million, one hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 197 308 394 616 631 788 1232 1262 1379 1576 2167 2524 2758 3152 4334 4417 5048 5516 6941 8668 8834 10096 11032 13882 15169 17336 17668 22064 27764 30338 34672 35336 48587 55528 60676 70672 97174 111056 121352 124307 194348 242704 248614 388696 497228 777392 870149 994456 1367377 1740298 1988912 2734754 3480596 5469508 6961192 9571639 10939016 13922384 19143278 21878032 38286556 76573112 153146224