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238085232 = 243711371741
BaseRepresentation
bin11100011000011…
…10010001110000
3121120222222112120
432030032101300
5441422211412
635342554240
75620456020
oct1614162160
9546888476
10238085232
11112435a60
1267898980
133a430448
1423897a80
1515d7db8c
hexe30e470

238085232 has 160 divisors (see below), whose sum is σ = 787997184. Its totient is φ = 60134400.

The previous prime is 238085231. The next prime is 238085291. The reversal of 238085232 is 232580832.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 238085193 and 238085202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238085231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135882 + ... + 137622.

Almost surely, 2238085232 is an apocalyptic number.

238085232 is a gapful number since it is divisible by the number (22) 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 238085232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393998592).

238085232 is an abundant number, since it is smaller than the sum of its proper divisors (549911952).

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

238085232 is a wasteful number, since it uses less digits than its factorization.

238085232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 238085232 is about 15430.0107582594. The cubic root of 238085232 is about 619.7894116572.

The spelling of 238085232 in words is "two hundred thirty-eight million, eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 518 528 592 616 777 814 888 924 1036 1221 1232 1554 1628 1741 1776 1848 2072 2442 2849 3108 3256 3482 3696 4144 4884 5223 5698 6216 6512 6964 8547 9768 10446 11396 12187 12432 13928 17094 19151 19536 20892 22792 24374 27856 34188 36561 38302 41784 45584 48748 57453 64417 68376 73122 76604 83568 97496 114906 128834 134057 136752 146244 153208 193251 194992 229812 257668 268114 292488 306416 386502 402171 450919 459624 515336 536228 584976 708587 773004 804342 901838 919248 1030672 1072456 1352757 1417174 1546008 1608684 1803676 2125761 2144912 2705514 2834348 3092016 3217368 3607352 4251522 4960109 5411028 5668696 6434736 7214704 8503044 9920218 10822056 11337392 14880327 17006088 19840436 21644112 29760654 34012176 39680872 59521308 79361744 119042616 238085232