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255342150 = 232527103787
BaseRepresentation
bin11110011100000…
…11011001000110
3122210110201120200
433032003121012
51010331422100
641200511330
76220241520
oct1716033106
9583421520
10255342150
11121152378
127161b546
1340b9313b
1425caaa10
151763be00
hexf383646

255342150 has 144 divisors (see below), whose sum is σ = 792639744. Its totient is φ = 57723840.

The previous prime is 255342149. The next prime is 255342161. The reversal of 255342150 is 51243552.

It is a happy number.

255342150 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2553421502 = 130399227133245000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 324057 + ... + 324843.

Almost surely, 2255342150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255342150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396319872).

255342150 is an abundant number, since it is smaller than the sum of its proper divisors (537297594).

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

255342150 is a wasteful number, since it uses less digits than its factorization.

255342150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 255342150 is about 15979.4289635143. The cubic root of 255342150 is about 634.4160626837.

The spelling of 255342150 in words is "two hundred fifty-five million, three hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 103 105 126 150 175 206 210 225 309 315 350 450 515 525 618 630 721 787 927 1030 1050 1442 1545 1574 1575 1854 2163 2361 2575 3090 3150 3605 3935 4326 4635 4722 5150 5509 6489 7083 7210 7725 7870 9270 10815 11018 11805 12978 14166 15450 16527 18025 19675 21630 23175 23610 27545 32445 33054 35415 36050 39350 46350 49581 54075 55090 59025 64890 70830 81061 82635 99162 108150 118050 137725 162122 162225 165270 177075 243183 247905 275450 324450 354150 405305 413175 486366 495810 567427 729549 810610 826350 1134854 1215915 1239525 1459098 1702281 2026525 2431830 2479050 2837135 3404562 3647745 4053050 5106843 5674270 6079575 7295490 8511405 10213686 12159150 14185675 17022810 18238725 25534215 28371350 36477450 42557025 51068430 85114050 127671075 255342150