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235023152 = 247133141127
BaseRepresentation
bin11100000001000…
…10101100110000
3121101020102011012
432000202230300
5440131220102
635153210052
75552443460
oct1600425460
9541212135
10235023152
11110734411
1266860928
13398ca770
14232dbba0
1515976752
hexe022b30

235023152 has 160 divisors (see below), whose sum is σ = 597295104. Its totient is φ = 87091200.

The previous prime is 235023133. The next prime is 235023157. The reversal of 235023152 is 251320532.

It is not an unprimeable number, because it can be changed into a prime (235023157) 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, 1850513 + ... + 1850639.

Almost surely, 2235023152 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 235023152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298647552).

235023152 is an abundant number, since it is smaller than the sum of its proper divisors (362271952).

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

235023152 is a wasteful number, since it uses less digits than its factorization.

235023152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 235023152 is about 15330.4648331354. The cubic root of 235023152 is about 617.1208440202.

Adding to 235023152 its reverse (251320532), we get a palindrome (486343684).

The spelling of 235023152 in words is "two hundred thirty-five million, twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 41 52 56 62 82 91 104 112 124 127 164 182 208 217 248 254 287 328 364 403 434 496 508 533 574 656 728 806 868 889 1016 1066 1148 1271 1456 1612 1651 1736 1778 2032 2132 2296 2542 2821 3224 3302 3472 3556 3731 3937 4264 4592 5084 5207 5642 6448 6604 7112 7462 7874 8528 8897 10168 10414 11284 11557 13208 14224 14924 15748 16523 17794 20336 20828 22568 23114 26416 27559 29848 31496 33046 35588 36449 41656 45136 46228 51181 55118 59696 62992 66092 67691 71176 72898 83312 92456 102362 110236 115661 132184 135382 142352 145796 161417 184912 204724 220472 231322 264368 270764 291592 322834 358267 409448 440944 462644 473837 541528 583184 645668 716534 818896 925288 947674 1083056 1129919 1291336 1433068 1850576 1895348 2098421 2259838 2582672 2866136 3790696 4196842 4519676 5732272 7581392 8393684 9039352 14688947 16787368 18078704 29377894 33574736 58755788 117511576 235023152