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216377448 = 23371287961
BaseRepresentation
bin11001110010110…
…10100001101000
3120002011010001120
430321122201220
5420343034243
633245415240
75235115020
oct1471324150
9502133046
10216377448
11101159641
126056a520
1335a9c8c1
1420a46a80
1513ee1c83
hexce5a868

216377448 has 32 divisors (see below), whose sum is σ = 618221760. Its totient is φ = 61822080.

The previous prime is 216377407. The next prime is 216377449. The reversal of 216377448 is 844773612.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (216377449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 643813 + ... + 644148.

It is an arithmetic number, because the mean of its divisors is an integer number (19319430).

Almost surely, 2216377448 is an apocalyptic number.

216377448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

216377448 is an abundant number, since it is smaller than the sum of its proper divisors (401844312).

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

216377448 is a wasteful number, since it uses less digits than its factorization.

216377448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287977 (or 1287973 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 216377448 is about 14709.7738935716. The cubic root of 216377448 is about 600.3492855155.

The spelling of 216377448 in words is "two hundred sixteen million, three hundred seventy-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1287961 2575922 3863883 5151844 7727766 9015727 10303688 15455532 18031454 27047181 30911064 36062908 54094362 72125816 108188724 216377448