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193215568 = 247131311013
BaseRepresentation
bin10111000010000…
…11110001010000
3111110120100221011
423201003301100
5343430344233
631101140304
74534206460
oct1341036120
9443510834
10193215568
119a079797
125485a694
1331050250
141b937ba0
1511e690cd
hexb843c50

193215568 has 80 divisors (see below), whose sum is σ = 464720256. Its totient is φ = 75778560.

The previous prime is 193215563. The next prime is 193215577. The reversal of 193215568 is 865512391.

It is a self number, because there is not a number n which added to its sum of digits gives 193215568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193215563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 190230 + ... + 191242.

Almost surely, 2193215568 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 193215568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232360128).

193215568 is an abundant number, since it is smaller than the sum of its proper divisors (271504688).

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

193215568 is a wasteful number, since it uses less digits than its factorization.

193215568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1166 counting only the distinct ones).

The product of its digits is 64800, while the sum is 40.

The square root of 193215568 is about 13900.2002863268. The cubic root of 193215568 is about 578.1147347892.

The spelling of 193215568 in words is "one hundred ninety-three million, two hundred fifteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 131 182 208 262 364 524 728 917 1013 1048 1456 1703 1834 2026 2096 3406 3668 4052 6812 7091 7336 8104 11921 13169 13624 14182 14672 16208 23842 26338 27248 28364 47684 52676 56728 92183 95368 105352 113456 132703 184366 190736 210704 265406 368732 530812 737464 928921 1061624 1474928 1725139 1857842 2123248 3450278 3715684 6900556 7431368 12075973 13801112 14862736 24151946 27602224 48303892 96607784 193215568