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235114020 = 223252973617
BaseRepresentation
bin11100000001110…
…00111000100100
3121101102000210200
432000320320210
5440142122040
635155150500
75553302421
oct1600707044
9541360720
10235114020
11110796709
12668a5430
133992cc2b
1423322d48
1515993630
hexe038e24

235114020 has 144 divisors (see below), whose sum is σ = 749090160. Its totient is φ = 59609088.

The previous prime is 235114003. The next prime is 235114039. The reversal of 235114020 is 20411532.

It can be written as a sum of positive squares in 8 ways, for example, as 24980004 + 210134016 = 4998^2 + 14496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 235113984 and 235114002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 380752 + ... + 381368.

It is an arithmetic number, because the mean of its divisors is an integer number (5202015).

Almost surely, 2235114020 is an apocalyptic number.

235114020 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 235114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374545080).

235114020 is an abundant number, since it is smaller than the sum of its proper divisors (513976140).

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

235114020 is a wasteful number, since it uses less digits than its factorization.

235114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 235114020 is about 15333.4281881124. The cubic root of 235114020 is about 617.2003671237.

Adding to 235114020 its reverse (20411532), we get a palindrome (255525552).

The spelling of 235114020 in words is "two hundred thirty-five million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 73 87 90 116 145 146 174 180 219 261 290 292 348 365 435 438 522 580 617 657 730 870 876 1044 1095 1234 1305 1314 1460 1740 1851 2117 2190 2468 2610 2628 3085 3285 3702 4234 4380 5220 5553 6170 6351 6570 7404 8468 9255 10585 11106 12340 12702 13140 17893 18510 19053 21170 22212 25404 27765 31755 35786 37020 38106 42340 45041 53679 55530 63510 71572 76212 89465 90082 95265 107358 111060 127020 135123 161037 178930 180164 190530 214716 225205 268395 270246 322074 357860 381060 405369 450410 536790 540492 644148 675615 805185 810738 900820 1073580 1306189 1351230 1610370 1621476 2026845 2612378 2702460 3220740 3918567 4053690 5224756 6530945 7837134 8107380 11755701 13061890 15674268 19592835 23511402 26123780 39185670 47022804 58778505 78371340 117557010 235114020