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217272048 = 2437646643
BaseRepresentation
bin11001111001101…
…00111011110000
3120010211120012220
430330310323300
5421110201143
633320521040
75245532130
oct1474647360
9503746186
10217272048
1110170a784
1260920180
1336023b56
1420bdaac0
151411bd83
hexcf34ef0

217272048 has 40 divisors (see below), whose sum is σ = 641470848. Its totient is φ = 62077632.

The previous prime is 217272047. The next prime is 217272059. The reversal of 217272048 is 840272712.

217272048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2172720482 = 94414285684228608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217272047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322986 + ... + 323657.

Almost surely, 2217272048 is an apocalyptic number.

217272048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

217272048 is an abundant number, since it is smaller than the sum of its proper divisors (424198800).

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

217272048 is a wasteful number, since it uses less digits than its factorization.

217272048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646661 (or 646655 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 217272048 is about 14740.1508811816. The cubic root of 217272048 is about 601.1755176486.

The spelling of 217272048 in words is "two hundred seventeen million, two hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 646643 1293286 1939929 2586572 3879858 4526501 5173144 7759716 9053002 10346288 13579503 15519432 18106004 27159006 31038864 36212008 54318012 72424016 108636024 217272048