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235155000 = 2335461257
BaseRepresentation
bin11100000010000…
…10111000111000
3121101111010000110
432001002320320
5440144430000
635200104320
75553533043
oct1601027070
9541433013
10235155000
11110814483
12669050a0
1339945792
1423333c5a
15159a0850
hexe042e38

235155000 has 160 divisors (see below), whose sum is σ = 749572560. Its totient is φ = 61440000.

The previous prime is 235154981. The next prime is 235155007. The reversal of 235155000 is 551532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235155007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 914872 + ... + 915128.

Almost surely, 2235155000 is an apocalyptic number.

235155000 is a gapful number since it is divisible by the number (20) 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 235155000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374786280).

235155000 is an abundant number, since it is smaller than the sum of its proper divisors (514417560).

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

235155000 is a wasteful number, since it uses less digits than its factorization.

235155000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 235155000 is about 15334.7644259702. The cubic root of 235155000 is about 617.2362240549.

The spelling of 235155000 in words is "two hundred thirty-five million, one hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 125 150 183 200 244 250 257 300 305 366 375 488 500 514 600 610 625 732 750 771 915 1000 1028 1220 1250 1285 1464 1500 1525 1542 1830 1875 2056 2440 2500 2570 3000 3050 3084 3660 3750 3855 4575 5000 5140 6100 6168 6425 7320 7500 7625 7710 9150 10280 12200 12850 15000 15250 15420 15677 18300 19275 22875 25700 30500 30840 31354 32125 36600 38125 38550 45750 47031 51400 61000 62708 64250 76250 77100 78385 91500 94062 96375 114375 125416 128500 152500 154200 156770 160625 183000 188124 192750 228750 235155 257000 305000 313540 321250 376248 385500 391925 457500 470310 481875 627080 642500 771000 783850 915000 940620 963750 1175775 1285000 1567700 1881240 1927500 1959625 2351550 3135400 3855000 3919250 4703100 5878875 7838500 9406200 9798125 11757750 15677000 19596250 23515500 29394375 39192500 47031000 58788750 78385000 117577500 235155000