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235265472 = 2634133491
BaseRepresentation
bin11100000010111…
…01110111000000
3121101200201120000
432001131313000
5440211443342
635202320000
75554503111
oct1601356700
9541621500
10235265472
1111088a482
1266959000
1339983b50
1423362208
15159c344c
hexe05ddc0

235265472 has 140 divisors (see below), whose sum is σ = 751261896. Its totient is φ = 72368640.

The previous prime is 235265419. The next prime is 235265473. The reversal of 235265472 is 274562532.

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 (235265473) 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 19 ways as a sum of consecutive naturals, for example, 65647 + ... + 69137.

Almost surely, 2235265472 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 235265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375630948).

235265472 is an abundant number, since it is smaller than the sum of its proper divisors (515996424).

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

235265472 is a wasteful number, since it uses less digits than its factorization.

235265472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3509 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 235265472 is about 15338.3660146705. The cubic root of 235265472 is about 617.3328647744.

The spelling of 235265472 in words is "two hundred thirty-five million, two hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3491 3744 4212 5184 5616 6982 7488 8424 10473 11232 13964 16848 20946 22464 27928 31419 33696 41892 45383 55856 62838 67392 83784 90766 94257 111712 125676 136149 167568 181532 188514 223424 251352 272298 282771 335136 363064 377028 408447 502704 544596 565542 670272 726128 754056 816894 1005408 1089192 1131084 1225341 1452256 1508112 1633788 2010816 2178384 2262168 2450682 2904512 3016224 3267576 3676023 4356768 4524336 4901364 6032448 6535152 7352046 8713536 9048672 9802728 13070304 14704092 18097344 19605456 26140608 29408184 39210912 58816368 78421824 117632736 235265472