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235528920 = 233251125407
BaseRepresentation
bin11100000100111…
…10001011011000
3121102012002221100
432002132023120
5440243411140
635212111400
75556651144
oct1602361330
9542162840
10235528920
11110a4a400
1266a65560
1339a46a33
14233d0224
1515a26530
hexe09e2d8

235528920 has 144 divisors (see below), whose sum is σ = 841538880. Its totient is φ = 57087360.

The previous prime is 235528913. The next prime is 235528927. The reversal of 235528920 is 29825532.

235528920 is a `hidden beast` number, since 2 + 3 + 552 + 89 + 20 = 666.

235528920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (235528913) and next prime (235528927).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235528927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40857 + ... + 46263.

It is an arithmetic number, because the mean of its divisors is an integer number (5844020).

Almost surely, 2235528920 is an apocalyptic number.

235528920 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 235528920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420769440).

235528920 is an abundant number, since it is smaller than the sum of its proper divisors (606009960).

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

235528920 is a wasteful number, since it uses less digits than its factorization.

235528920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 235528920 is about 15346.9514888137. The cubic root of 235528920 is about 617.5632066079.

The spelling of 235528920 in words is "two hundred thirty-five million, five hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5407 5445 7260 8712 10814 10890 14520 16221 21628 21780 27035 32442 43256 43560 48663 54070 59477 64884 81105 97326 108140 118954 129768 162210 178431 194652 216280 237908 243315 297385 324420 356862 389304 475816 486630 535293 594770 648840 654247 713724 892155 973260 1070586 1189540 1308494 1427448 1784310 1946520 1962741 2141172 2379080 2616988 2676465 3271235 3568620 3925482 4282344 5233976 5352930 5888223 6542470 7137240 7850964 9813705 10705860 11776446 13084940 15701928 19627410 21411720 23552892 26169880 29441115 39254820 47105784 58882230 78509640 117764460 235528920