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235452096 = 2634114129
BaseRepresentation
bin11100000100010…
…11011011000000
3121102001012120000
432002023123000
5440233431341
635210320000
75556211155
oct1602133300
9542035500
10235452096
111109a7710
1266a29000
1339a1aa89
14233b022c
1515a0d8b6
hexe08b6c0

235452096 has 140 divisors (see below), whose sum is σ = 761588520. Its totient is φ = 71331840.

The previous prime is 235452089. The next prime is 235452101. The reversal of 235452096 is 690254532.

235452096 is a `hidden beast` number, since 2 + 3 + 545 + 20 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 235452096.

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 19 ways as a sum of consecutive naturals, for example, 54960 + ... + 59088.

It is an arithmetic number, because the mean of its divisors is an integer number (5439918).

Almost surely, 2235452096 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 235452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380794260).

235452096 is an abundant number, since it is smaller than the sum of its proper divisors (526136424).

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

235452096 is a wasteful number, since it uses less digits than its factorization.

235452096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 235452096 is about 15344.4483771819. The cubic root of 235452096 is about 617.4960544367.

The spelling of 235452096 in words is "two hundred thirty-five million, four hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4129 4752 5184 6336 7128 8258 9504 12387 14256 16516 19008 24774 28512 33032 37161 45419 49548 57024 66064 74322 90838 99096 111483 132128 136257 148644 181676 198192 222966 264256 272514 297288 334449 363352 396384 408771 445932 545028 594576 668898 726704 792768 817542 891864 1090056 1189152 1226313 1337796 1453408 1635084 1783728 2180112 2378304 2452626 2675592 2906816 3270168 3567456 3678939 4360224 4905252 5351184 6540336 7134912 7357878 8720448 9810504 10702368 13080672 14715756 19621008 21404736 26161344 29431512 39242016 58863024 78484032 117726048 235452096