Search a number
-
+
235207168 = 297293173
BaseRepresentation
bin11100000010011…
…11101000000000
3121101120202120121
432001033220000
5440203112133
635201150024
75554141120
oct1601175000
9541522517
10235207168
1111084a699
126692b314
1339963451
1423348c80
15159b102d
hexe04fa00

235207168 has 160 divisors (see below), whose sum is σ = 581391360. Its totient is φ = 92897280.

The previous prime is 235207117. The next prime is 235207169. The reversal of 235207168 is 861702532.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (235207169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3221980 + ... + 3222052.

It is an arithmetic number, because the mean of its divisors is an integer number (3633696).

Almost surely, 2235207168 is an apocalyptic number.

235207168 is a gapful number since it is divisible by the number (28) 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 235207168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290695680).

235207168 is an abundant number, since it is smaller than the sum of its proper divisors (346184192).

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

235207168 is an equidigital number, since it uses as much as digits as its factorization.

235207168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 235207168 is about 15336.4653033220. The cubic root of 235207168 is about 617.2818643042.

The spelling of 235207168 in words is "two hundred thirty-five million, two hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 56 58 62 64 73 112 116 124 128 146 203 217 224 232 248 256 292 406 434 448 464 496 511 512 584 812 868 896 899 928 992 1022 1168 1624 1736 1792 1798 1856 1984 2044 2117 2263 2336 3248 3472 3584 3596 3712 3968 4088 4234 4526 4672 6293 6496 6944 7192 7424 7936 8176 8468 9052 9344 12586 12992 13888 14384 14819 14848 15841 15872 16352 16936 18104 18688 25172 25984 27776 28768 29638 31682 32704 33872 36208 37376 50344 51968 55552 57536 59276 63364 65408 65627 67744 72416 100688 103936 111104 115072 118552 126728 130816 131254 135488 144832 201376 230144 237104 253456 261632 262508 270976 289664 402752 459389 460288 474208 506912 525016 541952 579328 805504 918778 948416 1013824 1050032 1083904 1158656 1611008 1837556 1896832 2027648 2100064 3222016 3675112 3793664 4055296 4200128 7350224 7587328 8110592 8400256 14700448 16800512 29400896 33601024 58801792 117603584 235207168