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235505152 = 291943563
BaseRepresentation
bin11100000100110…
…00011000000000
3121102010220100001
432002120120000
5440242131102
635211405344
75556521641
oct1602303000
9542126301
10235505152
11110a33563
1266a53854
1339a38c7c
14233c56c8
1515a1e487
hexe098600

235505152 has 80 divisors (see below), whose sum is σ = 507735360. Its totient is φ = 108767232.

The previous prime is 235505147. The next prime is 235505159. The reversal of 235505152 is 251505532.

It is a self number, because there is not a number n which added to its sum of digits gives 235505152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235505159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418023 + ... + 418585.

It is an arithmetic number, because the mean of its divisors is an integer number (6346692).

Almost surely, 2235505152 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 235505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253867680).

235505152 is an abundant number, since it is smaller than the sum of its proper divisors (272230208).

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

235505152 is an equidigital number, since it uses as much as digits as its factorization.

235505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 235505152 is about 15346.1771135355. The cubic root of 235505152 is about 617.5424324625.

The spelling of 235505152 in words is "two hundred thirty-five million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 256 304 344 512 563 608 688 817 1126 1216 1376 1634 2252 2432 2752 3268 4504 4864 5504 6536 9008 9728 10697 11008 13072 18016 21394 22016 24209 26144 36032 42788 48418 52288 72064 85576 96836 104576 144128 171152 193672 209152 288256 342304 387344 418304 459971 684608 774688 919942 1369216 1549376 1839884 2738432 3098752 3679768 5476864 6197504 7359536 12395008 14719072 29438144 58876288 117752576 235505152