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150225320 = 2357532191
BaseRepresentation
bin10001111010001…
…00000110101000
3101110200020101202
420331010012220
5301424202240
622523503332
73502615460
oct1075040650
9343606352
10150225320
1177886563
1242387b48
132517a62b
1415d46ba0
15d2c6315
hex8f441a8

150225320 has 96 divisors (see below), whose sum is σ = 395781120. Its totient is φ = 50269440.

The previous prime is 150225319. The next prime is 150225329. The reversal of 150225320 is 23522051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 150225292 and 150225301.

It is not an unprimeable number, because it can be changed into a prime (150225329) 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 23 ways as a sum of consecutive naturals, for example, 786425 + ... + 786615.

It is an arithmetic number, because the mean of its divisors is an integer number (4122720).

Almost surely, 2150225320 is an apocalyptic number.

150225320 is a gapful number since it is divisible by the number (10) 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 150225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197890560).

150225320 is an abundant number, since it is smaller than the sum of its proper divisors (245555800).

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

150225320 is a wasteful number, since it uses less digits than its factorization.

150225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 150225320 is about 12256.6439125888. The cubic root of 150225320 is about 531.5951939684.

Adding to 150225320 its reverse (23522051), we get a palindrome (173747371).

The spelling of 150225320 in words is "one hundred fifty million, two hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 191 212 265 280 371 382 424 530 742 764 955 1060 1337 1484 1528 1855 1910 2120 2674 2809 2968 3710 3820 5348 5618 6685 7420 7640 10123 10696 11236 13370 14045 14840 19663 20246 22472 26740 28090 39326 40492 50615 53480 56180 70861 78652 80984 98315 101230 112360 141722 157304 196630 202460 283444 354305 393260 404920 536519 566888 708610 786520 1073038 1417220 2146076 2682595 2834440 3755633 4292152 5365190 7511266 10730380 15022532 18778165 21460760 30045064 37556330 75112660 150225320