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16222042080 = 2532531363397
BaseRepresentation
bin11110001101110100…
…01011011111100000
31112212112122010021100
433012322023133200
5231210320321310
611241410354400
71112666040216
oct170672133740
945775563240
1016222042080
116974a13352
12318888ba00
1316b6a8a28a
14adc650cb6
1564e255ec0
hex3c6e8b7e0

16222042080 has 144 divisors (see below), whose sum is σ = 57143608704. Its totient is φ = 4186321920.

The previous prime is 16222042061. The next prime is 16222042097. The reversal of 16222042080 is 8024022261.

It is a happy number.

16222042080 is a `hidden beast` number, since 16 + 2 + 220 + 420 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137059 + ... + 226338.

It is an arithmetic number, because the mean of its divisors is an integer number (396830616).

Almost surely, 216222042080 is an apocalyptic number.

16222042080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16222042080 is an abundant number, since it is smaller than the sum of its proper divisors (40921566624).

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

16222042080 is a wasteful number, since it uses less digits than its factorization.

16222042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363449 (or 363438 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 16222042080 in words is "sixteen billion, two hundred twenty-two million, forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 363397 726794 1090191 1453588 1816985 2180382 2907176 3270573 3633970 4360764 5450955 5814352 6541146 7267940 8721528 10901910 11265307 11628704 13082292 14535880 16352865 17443056 21803820 22530614 26164584 29071760 32705730 33795921 34886112 43607640 45061228 52329168 56326535 58143520 65411460 67591842 87215280 90122456 101387763 104658336 112653070 130822920 135183684 168979605 174430560 180244912 202775526 225306140 261645840 270367368 337959210 360489824 405551052 450612280 506938815 523291680 540734736 675918420 811102104 901224560 1013877630 1081469472 1351836840 1622204208 1802449120 2027755260 2703673680 3244408416 4055510520 5407347360 8111021040 16222042080