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232525216 = 25711223373
BaseRepresentation
bin11011101110000…
…00110110100000
3121012112111122001
431313000312200
5434011301331
635023453344
75522301040
oct1567006640
9535474561
10232525216
1110a288700
1265a57254
13392347b1
1422c4b720
1515631561
hexddc0da0

232525216 has 144 divisors (see below), whose sum is σ = 601679232. Its totient is φ = 86423040.

The previous prime is 232525187. The next prime is 232525243. The reversal of 232525216 is 612525232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623206 + ... + 623578.

It is an arithmetic number, because the mean of its divisors is an integer number (4178328).

Almost surely, 2232525216 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 232525216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300839616).

232525216 is an abundant number, since it is smaller than the sum of its proper divisors (369154016).

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

232525216 is a wasteful number, since it uses less digits than its factorization.

232525216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 416 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 232525216 is about 15248.7775247723. Note that the first 3 decimals coincide. The cubic root of 232525216 is about 614.9267024373.

The spelling of 232525216 in words is "two hundred thirty-two million, five hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 77 88 92 112 121 154 161 176 184 224 242 253 308 322 352 368 373 484 506 616 644 736 746 847 968 1012 1232 1288 1492 1694 1771 1936 2024 2464 2576 2611 2783 2984 3388 3542 3872 4048 4103 5152 5222 5566 5968 6776 7084 8096 8206 8579 10444 11132 11936 13552 14168 16412 17158 19481 20888 22264 27104 28336 28721 32824 34316 38962 41776 44528 45133 56672 57442 60053 65648 68632 77924 83552 89056 90266 94369 114884 120106 131296 137264 155848 180532 188738 229768 240212 274528 311696 315931 361064 377476 459536 480424 623392 631862 660583 722128 754952 919072 960848 1038059 1263724 1321166 1444256 1509904 1921696 2076118 2527448 2642332 3019808 4152236 5054896 5284664 7266413 8304472 10109792 10569328 14532826 16608944 21138656 29065652 33217888 58131304 116262608 232525216