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2293872019920 = 243351381690599
BaseRepresentation
bin100001011000010101011…
…011010100100111010000
322010021212212220020101000
4201120111123110213100
5300040322214114140
64513442410142000
7324504200313315
oct41302533244720
98107785806330
102293872019920
11804909a54a38
12310699121900
13138407937c60
147d049bcad0c
153ea076c3a30
hex216156d49d0

2293872019920 has 160 divisors (see below), whose sum is σ = 8508892896000. Its totient is φ = 564645413376.

The previous prime is 2293872019919. The next prime is 2293872019921. The reversal of 2293872019920 is 299102783922.

2293872019920 is a `hidden beast` number, since 229 + 387 + 2 + 0 + 19 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2293872019919) and next prime (2293872019921).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293872019921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40817220 + ... + 40873379.

It is an arithmetic number, because the mean of its divisors is an integer number (53180580600).

Almost surely, 22293872019920 is an apocalyptic number.

2293872019920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2293872019920 is an abundant number, since it is smaller than the sum of its proper divisors (6215020876080).

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

2293872019920 is a wasteful number, since it uses less digits than its factorization.

2293872019920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81690634 (or 81690622 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2293872019920 in words is "two trillion, two hundred ninety-three billion, eight hundred seventy-two million, nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 81690599 163381198 245071797 326762396 408452995 490143594 653524792 735215391 816905990 980287188 1061977787 1225358985 1307049584 1470430782 1633811980 1960574376 2123955574 2205646173 2450717970 2940861564 3185933361 3267623960 3676076955 3921148752 4247911148 4411292346 4901435940 5309888935 5881723128 6371866722 6535247920 7352153910 8495822296 8822584692 9557800083 9802871880 10619777870 11028230865 11763446256 12743733444 14704307820 15929666805 16991644592 17645169384 19115600166 19605743760 21239555740 22056461730 25487466888 28673400249 29408615640 31859333610 35290338768 38231200332 42479111480 44112923460 47789000415 50974933776 57346800498 58817231280 63718667220 76462400664 84958222960 88225846920 95578000830 114693600996 127437334440 143367001245 152924801328 176451693840 191156001660 229387201992 254874668880 286734002490 382312003320 458774403984 573468004980 764624006640 1146936009960 2293872019920