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216539232 = 25372133541
BaseRepresentation
bin11001110100000…
…10000001100000
3120002110022222120
430322002001200
5420413223412
633253104240
75236360500
oct1472020140
9502408876
10216539232
1110125a148
1260628080
1335b28430
1420a89a00
1514024b8c
hexce82060

216539232 has 144 divisors (see below), whose sum is σ = 712282032. Its totient is φ = 57093120.

The previous prime is 216539231. The next prime is 216539261. The reversal of 216539232 is 232935612.

It is a junction number, because it is equal to n+sod(n) for n = 216539193 and 216539202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216539231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59382 + ... + 62922.

It is an arithmetic number, because the mean of its divisors is an integer number (4946403).

Almost surely, 2216539232 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 216539232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356141016).

216539232 is an abundant number, since it is smaller than the sum of its proper divisors (495742800).

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

216539232 is a wasteful number, since it uses less digits than its factorization.

216539232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3566 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 216539232 is about 14715.2720668019. The cubic root of 216539232 is about 600.4988739818.

The spelling of 216539232 in words is "two hundred sixteen million, five hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3541 3822 4368 4704 5096 7082 7644 8736 10192 10623 14164 15288 20384 21246 24787 28328 30576 42492 46033 49574 56656 61152 74361 84984 92066 99148 113312 138099 148722 169968 173509 184132 198296 276198 297444 322231 339936 347018 368264 396592 520527 552396 594888 644462 694036 736528 793184 966693 1041054 1104792 1189776 1288924 1388072 1473056 1933386 2082108 2209584 2255617 2379552 2577848 2776144 3866772 4164216 4419168 4511234 5155696 5552288 6766851 7733544 8328432 9022468 10311392 13533702 15467088 16656864 18044936 27067404 30934176 36089872 54134808 72179744 108269616 216539232