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193471216 = 24232631999
BaseRepresentation
bin10111000100000…
…10001011110000
3111111001100121121
423202002023300
5344012034331
631110432024
74536323011
oct1342021360
9444040547
10193471216
119a233874
1254962614
133110c713
141b9a3008
1511eb9c11
hexb8822f0

193471216 has 40 divisors (see below), whose sum is σ = 392832000. Its totient is φ = 92131776.

The previous prime is 193471189. The next prime is 193471241. The reversal of 193471216 is 612174391.

It is a super-2 number, since 2×1934712162 = 74862222841037312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95785 + ... + 97783.

It is an arithmetic number, because the mean of its divisors is an integer number (9820800).

Almost surely, 2193471216 is an apocalyptic number.

193471216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193471216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416000).

193471216 is an abundant number, since it is smaller than the sum of its proper divisors (199360784).

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

193471216 is a wasteful number, since it uses less digits than its factorization.

193471216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2287 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 193471216 is about 13909.3930852500. The cubic root of 193471216 is about 578.3695947572.

The spelling of 193471216 in words is "one hundred ninety-three million, four hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 263 368 526 1052 1999 2104 3998 4208 6049 7996 12098 15992 24196 31984 45977 48392 91954 96784 183908 367816 525737 735632 1051474 2102948 4205896 8411792 12091951 24183902 48367804 96735608 193471216