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235051380 = 2232529371217
BaseRepresentation
bin11100000001010…
…01100101110100
3121101021211212200
432000221211310
5440133121010
635153544500
75552621664
oct1600514564
9541254780
10235051380
11110753643
1266875130
133990a575
14233081a4
151597ecc0
hexe029974

235051380 has 144 divisors (see below), whose sum is σ = 758131920. Its totient is φ = 58834944.

The previous prime is 235051357. The next prime is 235051381. The reversal of 235051380 is 83150532.

235051380 is a `hidden beast` number, since 23 + 50 + 513 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1695204 + 233356176 = 1302^2 + 15276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235051381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192532 + ... + 193748.

It is an arithmetic number, because the mean of its divisors is an integer number (5264805).

Almost surely, 2235051380 is an apocalyptic number.

235051380 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 235051380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379065960).

235051380 is an abundant number, since it is smaller than the sum of its proper divisors (523080540).

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

235051380 is a wasteful number, since it uses less digits than its factorization.

235051380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 235051380 is about 15331.3854559854. The cubic root of 235051380 is about 617.1455499405.

The spelling of 235051380 in words is "two hundred thirty-five million, fifty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 37 45 58 60 74 87 90 111 116 145 148 174 180 185 222 261 290 333 348 370 435 444 522 555 580 666 740 870 1044 1073 1110 1217 1305 1332 1665 1740 2146 2220 2434 2610 3219 3330 3651 4292 4868 5220 5365 6085 6438 6660 7302 9657 10730 10953 12170 12876 14604 16095 18255 19314 21460 21906 24340 32190 35293 36510 38628 43812 45029 48285 54765 64380 70586 73020 90058 96570 105879 109530 135087 141172 176465 180116 193140 211758 219060 225145 270174 317637 352930 405261 423516 450290 529395 540348 635274 675435 705860 810522 900580 1058790 1270548 1305841 1350870 1588185 1621044 2026305 2117580 2611682 2701740 3176370 3917523 4052610 5223364 6352740 6529205 7835046 8105220 11752569 13058410 15670092 19587615 23505138 26116820 39175230 47010276 58762845 78350460 117525690 235051380