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272216208 = 243113116631
BaseRepresentation
bin10000001110011…
…011000010010000
3200222020000102210
4100032123002100
51024141404313
643002312120
76513541155
oct2016330220
9628200383
10272216208
1112a728080
12771b8640
13445207a4
142822022c
1518d719c3
hex1039b090

272216208 has 80 divisors (see below), whose sum is σ = 791949312. Its totient is φ = 79824000.

The previous prime is 272216183. The next prime is 272216227. The reversal of 272216208 is 802612272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8053 + ... + 24683.

Almost surely, 2272216208 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 272216208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395974656).

272216208 is an abundant number, since it is smaller than the sum of its proper divisors (519733104).

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

272216208 is a wasteful number, since it uses less digits than its factorization.

272216208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16684 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 272216208 is about 16498.9759682230. The cubic root of 272216208 is about 648.0939888054.

The spelling of 272216208 in words is "two hundred seventy-two million, two hundred sixteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368 16631 33262 49893 66524 99786 133048 182941 199572 266096 365882 399144 515561 548823 731764 798288 1031122 1097646 1463528 1546683 2062244 2195292 2927056 3093366 4124488 4390584 5671171 6186732 8248976 8781168 11342342 12373464 17013513 22684684 24746928 34027026 45369368 68054052 90738736 136108104 272216208