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230524416 = 2932192633
BaseRepresentation
bin11011011110110…
…00011000000000
3121001202212001100
431233120120000
5433003240131
634512534400
75466265563
oct1557303000
9531685040
10230524416
11109141451
1265251400
13389b3ba5
142288a4da
15153887e6
hexdbd8600

230524416 has 120 divisors (see below), whose sum is σ = 700591320. Its totient is φ = 72769536.

The previous prime is 230524391. The next prime is 230524439. The reversal of 230524416 is 614425032.

It is a self number, because there is not a number n which added to its sum of digits gives 230524416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86236 + ... + 88868.

It is an arithmetic number, because the mean of its divisors is an integer number (5838261).

Almost surely, 2230524416 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 230524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350295660).

230524416 is an abundant number, since it is smaller than the sum of its proper divisors (470066904).

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

230524416 is a wasteful number, since it uses less digits than its factorization.

230524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230524416 is about 15183.0305275330. The cubic root of 230524416 is about 613.1578746163.

Adding to 230524416 its reverse (614425032), we get a palindrome (844949448).

The spelling of 230524416 in words is "two hundred thirty million, five hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2633 2736 3648 4608 4864 5266 5472 7296 7899 9728 10532 10944 14592 15798 21064 21888 23697 29184 31596 42128 43776 47394 50027 63192 84256 87552 94788 100054 126384 150081 168512 189576 200108 252768 300162 337024 379152 400216 450243 505536 600324 674048 758304 800432 900486 1011072 1200648 1348096 1516608 1600864 1800972 2022144 2401296 3033216 3201728 3601944 4044288 4802592 6066432 6403456 7203888 9605184 12132864 12806912 14407776 19210368 25613824 28815552 38420736 57631104 76841472 115262208 230524416