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230208528 = 24311795519
BaseRepresentation
bin11011011100010…
…11010000010000
3121001011210201210
431232023100100
5432413133103
634502100120
75463511614
oct1556132020
9531153653
10230208528
11108a46090
126511a640
1338903184
1422807344
1515324e03
hexdb8b410

230208528 has 80 divisors (see below), whose sum is σ = 657100800. Its totient is φ = 68864640.

The previous prime is 230208497. The next prime is 230208529. The reversal of 230208528 is 825802032.

It is a junction number, because it is equal to n+sod(n) for n = 230208495 and 230208504.

It is not an unprimeable number, because it can be changed into a prime (230208529) 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, 38953 + ... + 44471.

It is an arithmetic number, because the mean of its divisors is an integer number (8213760).

Almost surely, 2230208528 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 230208528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328550400).

230208528 is an abundant number, since it is smaller than the sum of its proper divisors (426892272).

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

230208528 is a wasteful number, since it uses less digits than its factorization.

230208528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 230208528 is about 15172.6242950915. The cubic root of 230208528 is about 612.8776761651.

The spelling of 230208528 in words is "two hundred thirty million, two hundred eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 528 632 869 948 1264 1738 1896 2607 3476 3792 5214 5519 6952 10428 11038 13904 16557 20856 22076 33114 41712 44152 60709 66228 88304 121418 132456 182127 242836 264912 364254 436001 485672 728508 872002 971344 1308003 1457016 1744004 2616006 2914032 3488008 4796011 5232012 6976016 9592022 10464024 14388033 19184044 20928048 28776066 38368088 57552132 76736176 115104264 230208528