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216428232 = 23347313613
BaseRepresentation
bin11001110011001…
…10111011001000
3120002020200201110
430321212323020
5420401200412
633250450320
75235416046
oct1471467310
9502220643
10216428232
11101193809
12605939a0
1335ab9a57
1420a5b396
1514001d3c
hexce66ec8

216428232 has 64 divisors (see below), whose sum is σ = 555252480. Its totient is φ = 70267392.

The previous prime is 216428213. The next prime is 216428239. The reversal of 216428232 is 232824612.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 216428232.

It is not an unprimeable number, because it can be changed into a prime (216428239) 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, 352758 + ... + 353370.

It is an arithmetic number, because the mean of its divisors is an integer number (8675820).

Almost surely, 2216428232 is an apocalyptic number.

It is a pronic number, being equal to 14711×14712.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216428232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277626240).

216428232 is an abundant number, since it is smaller than the sum of its proper divisors (338824248).

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

216428232 is a wasteful number, since it uses less digits than its factorization.

216428232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 216428232 is about 14711.4999915032. The cubic root of 216428232 is about 600.3962493642.

The spelling of 216428232 in words is "two hundred sixteen million, four hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 313 376 564 613 626 939 1128 1226 1252 1839 1878 2452 2504 3678 3756 4904 7356 7512 14711 14712 28811 29422 44133 57622 58844 86433 88266 115244 117688 172866 176532 191869 230488 345732 353064 383738 575607 691464 767476 1151214 1534952 2302428 4604856 9017843 18035686 27053529 36071372 54107058 72142744 108214116 216428232