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153002250 = 23353191193
BaseRepresentation
bin10010001111010…
…10000100001010
3101122220022122000
421013222010022
5303132033000
623103211430
73535332462
oct1107520412
9348808560
10153002250
1179402945
12432a6b76
132591059b
141646aba2
15d674000
hex91ea10a

153002250 has 128 divisors (see below), whose sum is σ = 447033600. Its totient is φ = 38620800.

The previous prime is 153002243. The next prime is 153002257. The reversal of 153002250 is 52200351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (153002243) and next prime (153002257).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (153002257) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 127654 + ... + 128846.

It is an arithmetic number, because the mean of its divisors is an integer number (3492450).

Almost surely, 2153002250 is an apocalyptic number.

153002250 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 153002250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223516800).

153002250 is an abundant number, since it is smaller than the sum of its proper divisors (294031350).

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

153002250 is a wasteful number, since it uses less digits than its factorization.

153002250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 153002250 is about 12369.4078273780. The cubic root of 153002250 is about 534.8507459156.

The spelling of 153002250 in words is "one hundred fifty-three million, two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 125 135 150 171 190 225 250 270 285 342 375 450 475 513 570 675 750 855 950 1026 1125 1193 1350 1425 1710 2250 2375 2386 2565 2850 3375 3579 4275 4750 5130 5965 6750 7125 7158 8550 10737 11930 12825 14250 17895 21375 21474 22667 25650 29825 32211 35790 42750 45334 53685 59650 64125 64422 68001 89475 107370 113335 128250 136002 149125 161055 178950 204003 226670 268425 298250 322110 340005 408006 447375 536850 566675 612009 680010 805275 894750 1020015 1133350 1224018 1342125 1610550 1700025 2040030 2684250 2833375 3060045 3400050 4026375 5100075 5666750 6120090 8052750 8500125 10200150 15300225 17000250 25500375 30600450 51000750 76501125 153002250