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153004224 = 2631934129
BaseRepresentation
bin10010001111010…
…10100011000000
3101122220102100010
421013222203000
5303132113344
623103224520
73535341312
oct1107524300
9348812303
10153004224
117940437a
12432a8140
1325911459
141646b7b2
15d6748b9
hex91ea8c0

153004224 has 56 divisors (see below), whose sum is σ = 407019760. Its totient is φ = 50724864.

The previous prime is 153004217. The next prime is 153004237. The reversal of 153004224 is 422400351.

It is a self number, because there is not a number n which added to its sum of digits gives 153004224.

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 7 ways as a sum of consecutive naturals, for example, 34992 + ... + 39120.

It is an arithmetic number, because the mean of its divisors is an integer number (7268210).

Almost surely, 2153004224 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 153004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203509880).

153004224 is an abundant number, since it is smaller than the sum of its proper divisors (254015536).

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

153004224 is a wasteful number, since it uses less digits than its factorization.

153004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 153004224 is about 12369.4876207545. The cubic root of 153004224 is about 534.8530460797.

Adding to 153004224 its reverse (422400351), we get a palindrome (575404575).

The spelling of 153004224 in words is "one hundred fifty-three million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 579 772 1158 1544 2316 3088 4129 4632 6176 8258 9264 12352 12387 16516 18528 24774 33032 37056 49548 66064 99096 132128 198192 264256 396384 792768 796897 1593794 2390691 3187588 4781382 6375176 9562764 12750352 19125528 25500704 38251056 51001408 76502112 153004224