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235525140 = 2232517194051
BaseRepresentation
bin11100000100111…
…01010000010100
3121102011220202100
432002131100110
5440243301030
635212042100
75556634134
oct1602352024
9542156670
10235525140
11110a47584
1266a63330
1339a450b6
14233ccac4
1515a25360
hexe09d414

235525140 has 144 divisors (see below), whose sum is σ = 796461120. Its totient is φ = 55987200.

The previous prime is 235525139. The next prime is 235525189. The reversal of 235525140 is 41525532.

It is a happy number.

235525140 is a `hidden beast` number, since 23 + 552 + 51 + 40 = 666.

235525140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 56115 + ... + 60165.

It is an arithmetic number, because the mean of its divisors is an integer number (5530980).

Almost surely, 2235525140 is an apocalyptic number.

235525140 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 235525140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398230560).

235525140 is an abundant number, since it is smaller than the sum of its proper divisors (560935980).

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

235525140 is a wasteful number, since it uses less digits than its factorization.

235525140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 235525140 is about 15346.8283368258. The cubic root of 235525140 is about 617.5599028361.

It can be divided in two parts, 2355 and 25140, that added together give a triangular number (27495 = T234).

The spelling of 235525140 in words is "two hundred thirty-five million, five hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 570 612 646 684 765 855 969 1020 1140 1292 1530 1615 1710 1938 2907 3060 3230 3420 3876 4051 4845 5814 6460 8102 9690 11628 12153 14535 16204 19380 20255 24306 29070 36459 40510 48612 58140 60765 68867 72918 76969 81020 121530 137734 145836 153938 182295 206601 230907 243060 275468 307876 344335 364590 384845 413202 461814 619803 688670 692721 729180 769690 826404 923628 1033005 1154535 1239606 1308473 1377340 1385442 1539380 2066010 2309070 2479212 2616946 2770884 3099015 3463605 3925419 4132020 4618140 5233892 6198030 6542365 6927210 7850838 11776257 12396060 13084730 13854420 15701676 19627095 23552514 26169460 39254190 47105028 58881285 78508380 117762570 235525140