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235008396 = 223273167449
BaseRepresentation
bin11100000000111…
…11000110001100
3121101012122220200
432000133012030
5440130232041
635153013500
75552352450
oct1600370614
9541178820
10235008396
11110724317
1266854290
13398c3b2c
14232d6660
15159721b6
hexe01f18c

235008396 has 144 divisors (see below), whose sum is σ = 712857600. Its totient is φ = 63866880.

The previous prime is 235008383. The next prime is 235008401. The reversal of 235008396 is 693800532.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 235008396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523180 + ... + 523628.

It is an arithmetic number, because the mean of its divisors is an integer number (4950400).

Almost surely, 2235008396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235008396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

235008396 is an abundant number, since it is smaller than the sum of its proper divisors (477849204).

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

235008396 is a wasteful number, since it uses less digits than its factorization.

235008396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 235008396 is about 15329.9835616350. The cubic root of 235008396 is about 617.1079283766.

The spelling of 235008396 in words is "two hundred thirty-five million, eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 67 84 93 124 126 134 186 201 217 252 268 279 372 402 434 449 469 558 603 651 804 868 898 938 1116 1206 1302 1347 1407 1796 1876 1953 2077 2412 2604 2694 2814 3143 3906 4041 4154 4221 5388 5628 6231 6286 7812 8082 8308 8442 9429 12462 12572 13919 14539 16164 16884 18693 18858 24924 27838 28287 29078 30083 37386 37716 41757 43617 55676 56574 58156 60166 74772 83514 87234 90249 97433 113148 120332 125271 130851 167028 174468 180498 194866 210581 250542 261702 270747 292299 360996 389732 421162 501084 523404 541494 584598 631743 842324 876897 932573 1082988 1169196 1263486 1753794 1865146 1895229 2526972 2797719 3507588 3730292 3790458 5595438 6528011 7580916 8393157 11190876 13056022 16786314 19584033 26112044 33572628 39168066 58752099 78336132 117504198 235008396