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30092214000 = 243537170639
BaseRepresentation
bin11100000001101000…
…101011111011110000
32212200011210212012110
4130001220223323300
5443112101322000
621454004325320
72113466412222
oct340150537360
985604725173
1030092214000
11118422a7852
1259b99a3840
132ab75109b4
1416567b0412
15bb1c91850
hex701a2bef0

30092214000 has 160 divisors (see below), whose sum is σ = 98385131520. Its totient is φ = 7911456000.

The previous prime is 30092213959. The next prime is 30092214017. The reversal of 30092214000 is 41229003.

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, 390681 + ... + 461319.

It is an arithmetic number, because the mean of its divisors is an integer number (614907072).

Almost surely, 230092214000 is an apocalyptic number.

30092214000 is a gapful number since it is divisible by the number (30) 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 30092214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49192565760).

30092214000 is an abundant number, since it is smaller than the sum of its proper divisors (68292917520).

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

30092214000 is a wasteful number, since it uses less digits than its factorization.

30092214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70736 (or 70720 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 30092214000 in words is "thirty billion, ninety-two million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 71 75 80 100 120 125 142 150 200 213 240 250 284 300 355 375 400 426 500 568 600 710 750 852 1000 1065 1136 1200 1420 1500 1704 1775 2000 2130 2840 3000 3408 3550 4260 5325 5680 6000 7100 8520 8875 10650 14200 17040 17750 21300 26625 28400 35500 42600 53250 70639 71000 85200 106500 141278 142000 211917 213000 282556 353195 423834 426000 565112 706390 847668 1059585 1130224 1412780 1695336 1765975 2119170 2825560 3390672 3531950 4238340 5015369 5297925 5651120 7063900 8476680 8829875 10030738 10595850 14127800 15046107 16953360 17659750 20061476 21191700 25076845 26489625 28255600 30092214 35319500 40122952 42383400 50153690 52979250 60184428 70639000 75230535 80245904 84766800 100307380 105958500 120368856 125384225 141278000 150461070 200614760 211917000 240737712 250768450 300922140 376152675 401229520 423834000 501536900 601844280 626921125 752305350 1003073800 1203688560 1253842250 1504610700 1880763375 2006147600 2507684500 3009221400 3761526750 5015369000 6018442800 7523053500 10030738000 15046107000 30092214000