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255252150 = 232521932939
BaseRepresentation
bin11110011011011…
…01011010110110
3122210022011010100
433031231122312
51010321032100
641154534530
76216415236
oct1715553266
9583264110
10255252150
111210a079a
1271597446
1340b6119a
1425c85cc6
1517620400
hexf36d6b6

255252150 has 72 divisors (see below), whose sum is σ = 689565240. Its totient is φ = 67691520.

The previous prime is 255252131. The next prime is 255252157. The reversal of 255252150 is 51252552.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255252157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85381 + ... + 88319.

It is an arithmetic number, because the mean of its divisors is an integer number (9577295).

Almost surely, 2255252150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255252150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344782620).

255252150 is an abundant number, since it is smaller than the sum of its proper divisors (434313090).

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

255252150 is a wasteful number, since it uses less digits than its factorization.

255252150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 255252150 is about 15976.6125946647. The cubic root of 255252150 is about 634.3415167522.

It can be divided in two parts, 255 and 252150, that added together give a triangular number (252405 = T710).

The spelling of 255252150 in words is "two hundred fifty-five million, two hundred fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 193 225 386 450 579 965 1158 1737 1930 2895 2939 3474 4825 5790 5878 8685 8817 9650 14475 14695 17370 17634 26451 28950 29390 43425 44085 52902 73475 86850 88170 132255 146950 220425 264510 440850 567227 661275 1134454 1322550 1701681 2836135 3403362 5105043 5672270 8508405 10210086 14180675 17016810 25525215 28361350 42542025 51050430 85084050 127626075 255252150