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235825080 = 23357189311
BaseRepresentation
bin11100000111001…
…10011110111000
3121102202011012020
432003212132320
5440332400310
635222314440
75562323451
oct1603463670
9542664166
10235825080
11111131967
1266b88a20
1339b1b78a
142346a128
1515a84170
hexe0e67b8

235825080 has 128 divisors (see below), whose sum is σ = 727833600. Its totient is φ = 61107200.

The previous prime is 235825069. The next prime is 235825099. The reversal of 235825080 is 80528532.

235825080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2358250802 = 111226936714012800, 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 31 ways as a sum of consecutive naturals, for example, 758125 + ... + 758435.

It is an arithmetic number, because the mean of its divisors is an integer number (5686200).

Almost surely, 2235825080 is an apocalyptic number.

235825080 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 235825080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363916800).

235825080 is an abundant number, since it is smaller than the sum of its proper divisors (492008520).

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

235825080 is a wasteful number, since it uses less digits than its factorization.

235825080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 235825080 is about 15356.5972793454. The cubic root of 235825080 is about 617.8219447037.

The spelling of 235825080 in words is "two hundred thirty-five million, eight hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 89 120 142 178 213 267 284 311 355 356 426 445 534 568 622 710 712 852 890 933 1065 1068 1244 1335 1420 1555 1704 1780 1866 2130 2136 2488 2670 2840 3110 3560 3732 4260 4665 5340 6220 6319 7464 8520 9330 10680 12440 12638 18660 18957 22081 25276 27679 31595 37320 37914 44162 50552 55358 63190 66243 75828 83037 88324 94785 110405 110716 126380 132486 138395 151656 166074 176648 189570 220810 221432 252760 264972 276790 331215 332148 379140 415185 441620 529944 553580 662430 664296 758280 830370 883240 1107160 1324860 1660740 1965209 2649720 3321480 3930418 5895627 7860836 9826045 11791254 15721672 19652090 23582508 29478135 39304180 47165016 58956270 78608360 117912540 235825080