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20219316 = 223133137113
BaseRepresentation
bin100110100100…
…0010110110100
31102001020200120
41031020112310
520134004231
62001211540
7333601305
oct115102664
942036616
1020219316
1110460087
126930bb0
13425c1c0
1429847ac
151b95d96
hex13485b4

20219316 has 96 divisors (see below), whose sum is σ = 54340608. Its totient is φ = 5806080.

The previous prime is 20219281. The next prime is 20219333. The reversal of 20219316 is 61391202.

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 31 ways as a sum of consecutive naturals, for example, 178876 + ... + 178988.

It is an arithmetic number, because the mean of its divisors is an integer number (566048).

Almost surely, 220219316 is an apocalyptic number.

20219316 is a gapful number since it is divisible by the number (26) 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 20219316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170304).

20219316 is an abundant number, since it is smaller than the sum of its proper divisors (34121292).

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

20219316 is a wasteful number, since it uses less digits than its factorization.

20219316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 20219316 is about 4496.5893741813. The cubic root of 20219316 is about 272.4303488906.

The spelling of 20219316 in words is "twenty million, two hundred nineteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 31 37 39 52 62 74 78 93 111 113 124 148 156 186 222 226 339 372 403 444 452 481 678 806 962 1147 1209 1356 1443 1469 1612 1924 2294 2418 2886 2938 3441 3503 4181 4407 4588 4836 5772 5876 6882 7006 8362 8814 10509 12543 13764 14012 14911 16724 17628 21018 25086 29822 42036 44733 45539 50172 54353 59644 89466 91078 108706 129611 136617 163059 178932 182156 217412 259222 273234 326118 388833 518444 546468 652236 777666 1555332 1684943 3369886 5054829 6739772 10109658 20219316