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150312225 = 35271911499
BaseRepresentation
bin10001111010110…
…01010100100001
3101110211122121110
420331121110201
5301434442400
622525413533
73503430030
oct1075312441
9343748543
10150312225
1177935888
124240a2a9
13251ab05b
1415d6a717
15d2e1e50
hex8f59521

150312225 has 48 divisors (see below), whose sum is σ = 285696000. Its totient is φ = 68308800.

The previous prime is 150312221. The next prime is 150312257. The reversal of 150312225 is 522213051.

It is not a de Polignac number, because 150312225 - 22 = 150312221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (150312221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99526 + ... + 101024.

It is an arithmetic number, because the mean of its divisors is an integer number (5952000).

Almost surely, 2150312225 is an apocalyptic number.

150312225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150312225 is a deficient number, since it is larger than the sum of its proper divisors (135383775).

150312225 is a wasteful number, since it uses less digits than its factorization.

150312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 150312225 is about 12260.1886200825. The cubic root of 150312225 is about 531.6976830709.

Adding to 150312225 its reverse (522213051), we get a palindrome (672525276).

The spelling of 150312225 in words is "one hundred fifty million, three hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 191 525 573 955 1337 1499 2865 4011 4497 4775 6685 7495 10493 14325 20055 22485 31479 33425 37475 52465 100275 112425 157395 262325 286309 786975 858927 1431545 2004163 4294635 6012489 7157725 10020815 21473175 30062445 50104075 150312225