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196522020 = 223253141859
BaseRepresentation
bin10111011011010…
…11000000100100
3111200210100112100
423231223000210
5400302201040
631300052100
74604260332
oct1355530044
9450710470
10196522020
11a0a279a2
1255994030
133193a226
141c158b52
15123bdb30
hexbb6b024

196522020 has 144 divisors (see below), whose sum is σ = 631088640. Its totient is φ = 49420800.

The previous prime is 196522013. The next prime is 196522021. The reversal of 196522020 is 20225691.

196522020 is a `hidden beast` number, since 1 + 9 + 652 + 2 + 0 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (196522021) 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 47 ways as a sum of consecutive naturals, for example, 228351 + ... + 229209.

It is an arithmetic number, because the mean of its divisors is an integer number (4382560).

Almost surely, 2196522020 is an apocalyptic number.

196522020 is a gapful number since it is divisible by the number (10) 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 196522020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315544320).

196522020 is an abundant number, since it is smaller than the sum of its proper divisors (434566620).

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

196522020 is a wasteful number, since it uses less digits than its factorization.

196522020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 196522020 is about 14018.6311742623. The cubic root of 196522020 is about 581.3938138768.

The spelling of 196522020 in words is "one hundred ninety-six million, five hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 155 164 180 186 205 246 279 310 369 372 410 465 492 558 615 620 738 820 859 930 1116 1230 1271 1395 1476 1718 1845 1860 2460 2542 2577 2790 3436 3690 3813 4295 5084 5154 5580 6355 7380 7626 7731 8590 10308 11439 12710 12885 15252 15462 17180 19065 22878 25420 25770 26629 30924 35219 38130 38655 45756 51540 53258 57195 70438 76260 77310 79887 105657 106516 114390 133145 140876 154620 159774 176095 211314 228780 239661 266290 316971 319548 352190 399435 422628 479322 528285 532580 633942 704380 798870 958644 1056570 1091789 1198305 1267884 1584855 1597740 2113140 2183578 2396610 3169710 3275367 4367156 4793220 5458945 6339420 6550734 9826101 10917890 13101468 16376835 19652202 21835780 32753670 39304404 49130505 65507340 98261010 196522020