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235131420 = 223517297949
BaseRepresentation
bin11100000001111…
…01001000011100
3121101102220200010
432000331020130
5440143201140
635155403220
75553404226
oct1600751034
9541386603
10235131420
111107a8797
12668b3510
1339937b24
1423329416
1515998880
hexe03d21c

235131420 has 96 divisors (see below), whose sum is σ = 721224000. Its totient is φ = 56971264.

The previous prime is 235131397. The next prime is 235131443. The reversal of 235131420 is 24131532.

It is an interprime number because it is at equal distance from previous prime (235131397) and next prime (235131443).

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, 25606 + ... + 33554.

It is an arithmetic number, because the mean of its divisors is an integer number (7512750).

Almost surely, 2235131420 is an apocalyptic number.

235131420 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 235131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360612000).

235131420 is an abundant number, since it is smaller than the sum of its proper divisors (486092580).

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

235131420 is a wasteful number, since it uses less digits than its factorization.

235131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8007 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 235131420 is about 15333.9955654096. The cubic root of 235131420 is about 617.2155923911.

Adding to 235131420 its reverse (24131532), we get a palindrome (259262952).

The spelling of 235131420 in words is "two hundred thirty-five million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4930 5916 7395 7949 9860 14790 15898 23847 29580 31796 39745 47694 79490 95388 119235 135133 158980 230521 238470 270266 405399 461042 476940 540532 675665 691563 810798 922084 1152605 1351330 1383126 1621596 2026995 2305210 2702660 2766252 3457815 3918857 4053990 4610420 6915630 7837714 8107980 11756571 13831260 15675428 19594285 23513142 39188570 47026284 58782855 78377140 117565710 235131420