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150225140 = 225135211109
BaseRepresentation
bin10001111010001…
…00000011110100
3101110200020011002
420331010003310
5301424201030
622523502432
73502615112
oct1075040364
9343606132
10150225140
117788640a
1242387a18
132517a520
1415d46ab2
15d2c6245
hex8f440f4

150225140 has 48 divisors (see below), whose sum is σ = 340698960. Its totient is φ = 55311360.

The previous prime is 150225109. The next prime is 150225149. The reversal of 150225140 is 41522051.

It can be written as a sum of positive squares in 8 ways, for example, as 63138916 + 87086224 = 7946^2 + 9332^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150225149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134906 + ... + 136014.

It is an arithmetic number, because the mean of its divisors is an integer number (7097895).

Almost surely, 2150225140 is an apocalyptic number.

150225140 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 150225140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170349480).

150225140 is an abundant number, since it is smaller than the sum of its proper divisors (190473820).

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

150225140 is a wasteful number, since it uses less digits than its factorization.

150225140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 150225140 is about 12256.6365696303. The cubic root of 150225140 is about 531.5949816492.

Adding to 150225140 its reverse (41522051), we get a palindrome (191747191).

The spelling of 150225140 in words is "one hundred fifty million, two hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 521 1042 1109 2084 2218 2605 4436 5210 5545 6773 10420 11090 13546 14417 22180 27092 28834 33865 57668 67730 72085 135460 144170 288340 577789 1155578 2311156 2888945 5777890 7511257 11555780 15022514 30045028 37556285 75112570 150225140