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153378225 = 335271113227
BaseRepresentation
bin10010010010001…
…01110110110001
3101200121102101000
421021011312301
5303231100400
623115232213
73541456560
oct1111056661
9350542330
10153378225
117963a370
1243448669
1325a12760
1416527bd7
15d6ea600
hex9245db1

153378225 has 192 divisors, whose sum is σ = 379975680. Its totient is φ = 58579200.

The previous prime is 153378223. The next prime is 153378257. The reversal of 153378225 is 522873351.

It is a happy number.

It is not a de Polignac number, because 153378225 - 21 = 153378223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 153378225.

It is not an unprimeable number, because it can be changed into a prime (153378223) 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 191 ways as a sum of consecutive naturals, for example, 675562 + ... + 675788.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2153378225 is an apocalyptic number.

153378225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153378225 is an abundant number, since it is smaller than the sum of its proper divisors (226597455).

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

153378225 is a wasteful number, since it uses less digits than its factorization.

153378225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 153378225 is about 12384.5962792495. The cubic root of 153378225 is about 535.2884867970.

The spelling of 153378225 in words is "one hundred fifty-three million, three hundred seventy-eight thousand, two hundred twenty-five".