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221668734 = 23773197367
BaseRepresentation
bin11010011011001…
…10010101111110
3120110002221100010
431031212111332
5423221344414
633555044050
75331103350
oct1515462576
9513087303
10221668734
11104143001
12622a0626
1336c03141
14216230d0
15146d9959
hexd36657e

221668734 has 64 divisors (see below), whose sum is σ = 517625856. Its totient is φ = 61979904.

The previous prime is 221668703. The next prime is 221668747. The reversal of 221668734 is 437866122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221668692 and 221668701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603819 + ... + 604185.

It is an arithmetic number, because the mean of its divisors is an integer number (8087904).

Almost surely, 2221668734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221668734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258812928).

221668734 is an abundant number, since it is smaller than the sum of its proper divisors (295957122).

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

221668734 is a wasteful number, since it uses less digits than its factorization.

221668734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649.

The product of its digits is 96768, while the sum is 39.

The square root of 221668734 is about 14888.5437165627. The cubic root of 221668734 is about 605.2035687704.

The spelling of 221668734 in words is "two hundred twenty-one million, six hundred sixty-eight thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 73 146 197 219 367 394 438 511 591 734 1022 1101 1182 1379 1533 2202 2569 2758 3066 4137 5138 7707 8274 14381 15414 26791 28762 43143 53582 72299 80373 86286 100667 144598 160746 187537 201334 216897 302001 375074 433794 506093 562611 604002 1012186 1125222 1518279 3036558 5277827 10555654 15833481 31666962 36944789 73889578 110834367 221668734